diff --git a/include/sway/sway_text_node.h b/include/sway/sway_text_node.h
index 0d4209bb..e488ef66 100644
--- a/include/sway/sway_text_node.h
+++ b/include/sway/sway_text_node.h
@@ -4,7 +4,7 @@
 
 struct sway_text_node {
 	int width;
-	int max_width;
+	double max_width;
 	int height;
 	int baseline;
 	bool pango_markup;
@@ -21,7 +21,7 @@ void sway_text_node_set_color(struct sway_text_node *node, float color[4]);
 
 void sway_text_node_set_text(struct sway_text_node *node, char *text);
 
-void sway_text_node_set_max_width(struct sway_text_node *node, int max_width);
+void sway_text_node_set_max_width(struct sway_text_node *node, double max_width);
 
 void sway_text_node_set_background(struct sway_text_node *node, float background[4]);
 
diff --git a/include/sway/tree/container.h b/include/sway/tree/container.h
index e18fd00a..9a671678 100644
--- a/include/sway/tree/container.h
+++ b/include/sway/tree/container.h
@@ -102,7 +102,7 @@ struct sway_container {
 
 	char *title;           // The view's title (unformatted)
 	char *formatted_title; // The title displayed in the title bar
-	int title_width;
+	double title_width;
 
 	char *title_format;
 
@@ -360,6 +360,8 @@ bool container_is_sticky_or_child(struct sway_container *con);
  */
 int container_squash(struct sway_container *con);
 
+float container_scale_factor(struct sway_container *con);
+
 void container_arrange_title_bar(struct sway_container *con);
 
 void container_update(struct sway_container *con);
diff --git a/sway/desktop/layer_shell.c b/sway/desktop/layer_shell.c
index 8c54d71a..f136db26 100644
--- a/sway/desktop/layer_shell.c
+++ b/sway/desktop/layer_shell.c
@@ -334,7 +334,7 @@ static void popup_unconstrain(struct sway_layer_popup *popup) {
 		return;
 	}
 
-	int lx, ly;
+	double lx, ly;
 	wlr_scene_node_coords(&popup->toplevel->scene->tree->node, &lx, &ly);
 
 	// the output box expressed in the coordinate system of the toplevel parent
diff --git a/sway/desktop/output.c b/sway/desktop/output.c
index 12dc9cc7..de5ca9cf 100644
--- a/sway/desktop/output.c
+++ b/sway/desktop/output.c
@@ -144,7 +144,7 @@ static struct buffer_timer *buffer_timer_get_or_create(struct wlr_scene_surface
 }
 
 static void send_frame_done_iterator(struct wlr_scene_buffer *buffer,
-		int x, int y, void *user_data) {
+		double x, double y, void *user_data) {
 	struct send_frame_done_data *data = user_data;
 	struct sway_output *output = data->output;
 	int view_max_render_time = 0;
diff --git a/sway/desktop/transaction.c b/sway/desktop/transaction.c
index 325a3022..9af67451 100644
--- a/sway/desktop/transaction.c
+++ b/sway/desktop/transaction.c
@@ -254,7 +254,7 @@ static void apply_container_state(struct sway_container *container,
 }
 
 static void arrange_title_bar(struct sway_container *con,
-		int x, int y, int width, int height) {
+		double x, double y, double width, double height) {
 	container_update(con);
 
 	bool has_title_bar = height > 0;
@@ -283,13 +283,17 @@ static void disable_container(struct sway_container *con) {
 	}
 }
 
+static double align_to_fractional(float scale, double value) {
+	return round(value * scale) / scale;
+}
+
 static void arrange_container(struct sway_container *con,
-		int width, int height, bool title_bar, int gaps);
+		double width, double height, bool title_bar, double gaps);
 
 static void arrange_children(enum sway_container_layout layout, list_t *children,
 		struct sway_container *active, struct wlr_scene_tree *content,
-		int width, int height, int gaps) {
-	int title_bar_height = container_titlebar_height();
+		double width, double height, double gaps, float scale) {
+	double title_bar_height = align_to_fractional(scale, container_titlebar_height());
 
 	if (layout == L_TABBED) {
 		struct sway_container *first = children->length == 1 ?
@@ -299,28 +303,27 @@ static void arrange_children(enum sway_container_layout layout, list_t *children
 			title_bar_height = 0;
 		}
 
-		double w = (double) width / children->length;
-		int title_offset = 0;
+		double w = align_to_fractional(scale, width / children->length);
+		double title_offset = 0;
 		for (int i = 0; i < children->length; i++) {
 			struct sway_container *child = children->items[i];
 			bool activated = child == active;
-			int next_title_offset = round(w * i + w);
 
 			arrange_title_bar(child, title_offset, -title_bar_height,
-				next_title_offset - title_offset, title_bar_height);
+				(i == children->length - 1) ? width - title_offset : w, title_bar_height);
 			wlr_scene_node_set_enabled(&child->border.tree->node, activated);
 			wlr_scene_node_set_enabled(&child->scene_tree->node, true);
 			wlr_scene_node_set_position(&child->scene_tree->node, 0, title_bar_height);
 			wlr_scene_node_reparent(&child->scene_tree->node, content);
 
-			int net_height = height - title_bar_height;
+			double net_height = height - title_bar_height;
 			if (activated && width > 0 && net_height > 0) {
 				arrange_container(child, width, net_height, title_bar_height == 0, 0);
 			} else {
 				disable_container(child);
 			}
 
-			title_offset = next_title_offset;
+			title_offset += w;
 		}
 	} else if (layout == L_STACKED) {
 		struct sway_container *first = children->length == 1 ?
@@ -330,9 +333,9 @@ static void arrange_children(enum sway_container_layout layout, list_t *children
 			title_bar_height = 0;
 		}
 
-		int title_height = title_bar_height * children->length;
+		double title_height = title_bar_height * children->length;
 
-		int y = 0;
+		double y = 0;
 		for (int i = 0; i < children->length; i++) {
 			struct sway_container *child = children->items[i];
 			bool activated = child == active;
@@ -343,7 +346,7 @@ static void arrange_children(enum sway_container_layout layout, list_t *children
 			wlr_scene_node_set_position(&child->scene_tree->node, 0, title_height);
 			wlr_scene_node_reparent(&child->scene_tree->node, content);
 
-			int net_height = height - title_height;
+			double net_height = height - title_height;
 			if (activated && width > 0 && net_height > 0) {
 				arrange_container(child, width, net_height, title_bar_height == 0, 0);
 			} else {
@@ -353,10 +356,10 @@ static void arrange_children(enum sway_container_layout layout, list_t *children
 			y += title_bar_height;
 		}
 	} else if (layout == L_VERT) {
-		int off = 0;
+		double off = 0;
 		for (int i = 0; i < children->length; i++) {
 			struct sway_container *child = children->items[i];
-			int cheight = child->current.height;
+			double cheight = align_to_fractional(scale, child->current.height);
 
 			wlr_scene_node_set_enabled(&child->border.tree->node, true);
 			wlr_scene_node_set_position(&child->scene_tree->node, 0, off);
@@ -369,10 +372,10 @@ static void arrange_children(enum sway_container_layout layout, list_t *children
 			}
 		}
 	} else if (layout == L_HORIZ) {
-		int off = 0;
+		double off = 0;
 		for (int i = 0; i < children->length; i++) {
 			struct sway_container *child = children->items[i];
-			int cwidth = child->current.width;
+			double cwidth = align_to_fractional(scale, child->current.width);
 
 			wlr_scene_node_set_enabled(&child->border.tree->node, true);
 			wlr_scene_node_set_position(&child->scene_tree->node, off, 0);
@@ -390,7 +393,9 @@ static void arrange_children(enum sway_container_layout layout, list_t *children
 }
 
 static void arrange_container(struct sway_container *con,
-		int width, int height, bool title_bar, int gaps) {
+		double width, double height, bool title_bar, double gaps) {
+	float scale = container_scale_factor(con);
+
 	// this container might have previously been in the scratchpad,
 	// make sure it's enabled for viewing
 	wlr_scene_node_set_enabled(&con->scene_tree->node, true);
@@ -400,8 +405,8 @@ static void arrange_container(struct sway_container *con,
 	}
 
 	if (con->view) {
-		int border_top = container_titlebar_height();
-		int border_width = con->current.border_thickness;
+		double border_top = container_titlebar_height();
+		double border_width = con->current.border_thickness;
 
 		if (title_bar && con->current.border != B_NORMAL) {
 			wlr_scene_node_set_enabled(&con->title_bar.tree->node, false);
@@ -431,10 +436,21 @@ static void arrange_container(struct sway_container *con,
 			sway_assert(false, "unreachable");
 		}
 
-		int border_bottom = con->current.border_bottom ? border_width : 0;
-		int border_left = con->current.border_left ? border_width : 0;
-		int border_right = con->current.border_right ? border_width : 0;
-		int vert_border_height = MAX(0, height - border_top - border_bottom);
+		border_top = align_to_fractional(scale, border_top);
+		border_width = align_to_fractional(scale, border_width);
+
+		double content_width = align_to_fractional(scale, con->current.content_width);
+		double content_height = align_to_fractional(scale, con->current.content_height);
+
+		double border_bottom = con->current.border_bottom ? border_width : 0;
+		double border_left = con->current.border_left ? border_width : 0;
+		double border_right = con->current.border_right ? border_width : 0;
+
+		width = border_left + content_width + border_right;
+		height = border_top + content_height + border_bottom;
+
+		double vert_border_height = MAX(0, height - border_top - border_bottom);
+		vert_border_height = align_to_fractional(scale, vert_border_height);
 
 		wlr_scene_rect_set_size(con->border.top, width, border_top);
 		wlr_scene_rect_set_size(con->border.bottom, width, border_bottom);
@@ -464,7 +480,7 @@ static void arrange_container(struct sway_container *con,
 
 		arrange_children(con->current.layout, con->current.children,
 			con->current.focused_inactive_child, con->content_tree,
-			width, height, gaps);
+			width, height, gaps, scale);
 	}
 }
 
@@ -488,7 +504,7 @@ static int container_get_gaps(struct sway_container *con) {
 
 static void arrange_fullscreen(struct wlr_scene_tree *tree,
 		struct sway_container *fs, struct sway_workspace *ws,
-		int width, int height) {
+		double width, double height) {
 	struct wlr_scene_node *fs_node;
 	if (fs->view) {
 		fs_node = &fs->view->scene_tree->node;
@@ -497,7 +513,9 @@ static void arrange_fullscreen(struct wlr_scene_tree *tree,
 		wlr_scene_node_set_enabled(&fs->scene_tree->node, false);
 	} else {
 		fs_node = &fs->scene_tree->node;
-		arrange_container(fs, width, height, true, container_get_gaps(fs));
+		float scale = container_scale_factor(fs);
+		double gaps = align_to_fractional(scale, container_get_gaps(fs));
+		arrange_container(fs, width, height, true, gaps);
 	}
 
 	wlr_scene_node_reparent(fs_node, tree);
@@ -506,6 +524,9 @@ static void arrange_fullscreen(struct wlr_scene_tree *tree,
 }
 
 static void arrange_workspace_floating(struct sway_workspace *ws) {
+	float scale = ws->output->wlr_output->scale;
+	double gaps = align_to_fractional(scale, ws->gaps_inner);
+
 	for (int i = 0; i < ws->current.floating->length; i++) {
 		struct sway_container *floater = ws->current.floating->items[i];
 		struct wlr_scene_tree *layer = root->layers.floating;
@@ -531,21 +552,27 @@ static void arrange_workspace_floating(struct sway_workspace *ws) {
 		}
 
 		wlr_scene_node_reparent(&floater->scene_tree->node, layer);
-		wlr_scene_node_set_position(&floater->scene_tree->node,
-			floater->current.x, floater->current.y);
+
+		double x = align_to_fractional(scale, floater->current.x);
+		double y = align_to_fractional(scale, floater->current.y);
+		wlr_scene_node_set_position(&floater->scene_tree->node, x, y);
 		wlr_scene_node_set_enabled(&floater->scene_tree->node, true);
 		wlr_scene_node_set_enabled(&floater->border.tree->node, true);
 
-		arrange_container(floater, floater->current.width, floater->current.height,
-			true, ws->gaps_inner);
+		double width = align_to_fractional(scale, floater->current.width);
+		double height = align_to_fractional(scale, floater->current.height);
+		arrange_container(floater, width, height, true, gaps);
 	}
 }
 
 static void arrange_workspace_tiling(struct sway_workspace *ws,
-		int width, int height) {
+		double width, double height) {
+	float scale = ws->output->wlr_output->scale;
+	double gaps = align_to_fractional(scale, ws->gaps_inner);
+
 	arrange_children(ws->current.layout, ws->current.tiling,
 		ws->current.focused_inactive_child, ws->layers.tiling,
-		width, height, ws->gaps_inner);
+		width, height, gaps, scale);
 }
 
 static void disable_workspace(struct sway_workspace *ws) {
@@ -584,6 +611,8 @@ static void arrange_output(struct sway_output *output, int width, int height) {
 
 		if (activated) {
 			struct sway_container *fs = child->current.fullscreen;
+			double scale = output->wlr_output->scale;
+
 			wlr_scene_node_set_enabled(&child->layers.tiling->node, !fs);
 			wlr_scene_node_set_enabled(&child->layers.fullscreen->node, fs);
 
@@ -604,11 +633,12 @@ static void arrange_output(struct sway_output *output, int width, int height) {
 				struct side_gaps *gaps = &child->current_gaps;
 
 				wlr_scene_node_set_position(&child->layers.tiling->node,
-					gaps->left + area->x, gaps->top + area->y);
+					align_to_fractional(scale, gaps->left + area->x),
+					align_to_fractional(scale, gaps->top + area->y));
 
 				arrange_workspace_tiling(child,
-					area->width - gaps->left - gaps->right,
-					area->height - gaps->top - gaps->bottom);
+					align_to_fractional(scale, area->width - gaps->left - gaps->right),
+					align_to_fractional(scale, area->height - gaps->top - gaps->bottom));
 				arrange_workspace_floating(child);
 			}
 		} else {
@@ -627,7 +657,7 @@ void arrange_popups(struct wlr_scene_tree *popups) {
 			SWAY_SCENE_DESC_POPUP);
 
 		if (popup) {
-			int lx, ly;
+			double lx, ly;
 			wlr_scene_node_coords(popup->relative, &lx, &ly);
 			wlr_scene_node_set_position(node, lx, ly);
 		}
diff --git a/sway/desktop/xdg_shell.c b/sway/desktop/xdg_shell.c
index 696a45ad..e71afeca 100644
--- a/sway/desktop/xdg_shell.c
+++ b/sway/desktop/xdg_shell.c
@@ -375,7 +375,7 @@ static void handle_new_popup(struct wl_listener *listener, void *data) {
 		return;
 	}
 
-	int lx, ly;
+	double lx, ly;
 	wlr_scene_node_coords(&popup->view->content_tree->node, &lx, &ly);
 	wlr_scene_node_set_position(&popup->scene_tree->node, lx, ly);
 }
diff --git a/sway/input/text_input.c b/sway/input/text_input.c
index e496bff1..a7d0719e 100644
--- a/sway/input/text_input.c
+++ b/sway/input/text_input.c
@@ -132,7 +132,10 @@ static void constrain_popup(struct sway_input_popup *popup) {
 	}
 
 	struct wlr_box parent = {0};
-	wlr_scene_node_coords(&popup->desc.relative->parent->node, &parent.x, &parent.y);
+	double lx, ly;
+	wlr_scene_node_coords(&popup->desc.relative->parent->node, &lx, &ly);
+	parent.x = lx;
+	parent.y = ly;
 
 	struct wlr_box geo = {0};
 	struct wlr_output *output;
diff --git a/sway/sway_text_node.c b/sway/sway_text_node.c
index 89ece91e..f808b47d 100644
--- a/sway/sway_text_node.c
+++ b/sway/sway_text_node.c
@@ -56,8 +56,8 @@ struct text_buffer {
 	struct wl_listener destroy;
 };
 
-static int get_text_width(struct sway_text_node *props) {
-	int width = props->width;
+static double get_text_width(struct sway_text_node *props) {
+	double width = props->width;
 	if (props->max_width >= 0) {
 		width = MIN(width, props->max_width);
 	}
@@ -136,14 +136,14 @@ static void render_backing_buffer(struct text_buffer *buffer) {
 	wlr_scene_buffer_set_buffer(buffer->buffer_node, &cairo_buffer->base);
 	wlr_buffer_drop(&cairo_buffer->base);
 
-	pixman_region32_t opaque;
-	pixman_region32_init(&opaque);
+	pixman_region64f_t opaque;
+	pixman_region64f_init(&opaque);
 	if (background[3] == 1) {
-		pixman_region32_union_rect(&opaque, &opaque, 0, 0,
+		pixman_region64f_union_rectf(&opaque, &opaque, 0, 0,
 			get_text_width(&buffer->props), buffer->props.height);
 	}
 	wlr_scene_buffer_set_opaque_region(buffer->buffer_node, &opaque);
-	pixman_region32_fini(&opaque);
+	pixman_region64f_fini(&opaque);
 
 err:
 	if (pango) g_object_unref(pango);
@@ -279,7 +279,7 @@ void sway_text_node_set_text(struct sway_text_node *node, char *text) {
 	render_backing_buffer(buffer);
 }
 
-void sway_text_node_set_max_width(struct sway_text_node *node, int max_width) {
+void sway_text_node_set_max_width(struct sway_text_node *node, double max_width) {
 	struct text_buffer *buffer = wl_container_of(node, buffer, props);
 	if (max_width == buffer->props.max_width) {
 		return;
diff --git a/sway/tree/container.c b/sway/tree/container.c
index c9ec852f..cd4e2046 100644
--- a/sway/tree/container.c
+++ b/sway/tree/container.c
@@ -103,6 +103,7 @@ struct sway_container *container_create(struct sway_view *view) {
 	//     - buffer used for output enter/leave events for foreign_toplevel
 	bool failed = false;
 	c->scene_tree = alloc_scene_tree(root->staging, &failed);
+	c->scene_tree->node.scaling_group = true;
 
 	c->title_bar.tree = alloc_scene_tree(c->scene_tree, &failed);
 	c->title_bar.border = alloc_scene_tree(c->title_bar.tree, &failed);
@@ -316,9 +317,9 @@ void container_update_itself_and_parents(struct sway_container *con) {
 	}
 }
 
-static void update_rect_list(struct wlr_scene_tree *tree, pixman_region32_t *region) {
+static void update_rect_list(struct wlr_scene_tree *tree, pixman_region64f_t *region) {
 	int len;
-	const pixman_box32_t *rects = pixman_region32_rectangles(region, &len);
+	const pixman_box64f_t *rects = pixman_region64f_rectangles(region, &len);
 
 	wlr_scene_node_set_enabled(&tree->node, len > 0);
 	if (len == 0) {
@@ -332,27 +333,42 @@ static void update_rect_list(struct wlr_scene_tree *tree, pixman_region32_t *reg
 		wlr_scene_node_set_enabled(&rect->node, i < len);
 
 		if (i < len) {
-			const pixman_box32_t *box = &rects[i++];
+			const pixman_box64f_t *box = &rects[i++];
 			wlr_scene_node_set_position(&rect->node, box->x1, box->y1);
 			wlr_scene_rect_set_size(rect, box->x2 - box->x1, box->y2 - box->y1);
 		}
 	}
 }
 
+float container_scale_factor(struct sway_container *con) {
+	struct sway_workspace *ws = con->pending.workspace
+		? con->pending.workspace
+		: con->current.workspace;
+	if (ws) {
+		return ws->output->wlr_output->scale;
+	}
+	return 1.0f;
+}
+
+static double align_to_fractional(double scale, double value) {
+	return round(value * scale) / scale;
+}
+
 void container_arrange_title_bar(struct sway_container *con) {
 	enum alignment title_align = config->title_align;
+	float scale = container_scale_factor(con);
 	int marks_buffer_width = 0;
-	int width = con->title_width;
-	int height = container_titlebar_height();
+	double width = align_to_fractional(scale, con->title_width);
+	double height = align_to_fractional(scale, container_titlebar_height());
 
-	pixman_region32_t text_area;
-	pixman_region32_init(&text_area);
+	pixman_region64f_t text_area;
+	pixman_region64f_init(&text_area);
 
 	if (con->title_bar.marks_text) {
 		struct sway_text_node *node = con->title_bar.marks_text;
 		marks_buffer_width = node->width;
 
-		int h_padding;
+		double h_padding;
 		if (title_align == ALIGN_RIGHT) {
 			h_padding = config->titlebar_h_padding;
 		} else {
@@ -360,68 +376,93 @@ void container_arrange_title_bar(struct sway_container *con) {
 		}
 
 		h_padding = MAX(h_padding, config->titlebar_h_padding);
+		h_padding = align_to_fractional(scale, h_padding);
 
-		int alloc_width = MIN((int)node->width,
+		double v_padding = (height - node->height) / 2.0;
+		v_padding = align_to_fractional(scale, v_padding);
+
+		double alloc_width = MIN(node->width,
 			width - h_padding - config->titlebar_h_padding);
 		alloc_width = MAX(alloc_width, 0);
 
-		sway_text_node_set_max_width(node, alloc_width);
-		wlr_scene_node_set_position(node->node,
-			h_padding, (height - node->height) >> 1);
+		double text_width = align_to_fractional(scale, alloc_width);
+		double text_height = align_to_fractional(scale, node->height);
 
-		pixman_region32_union_rect(&text_area, &text_area,
-			node->node->x, node->node->y, alloc_width, node->height);
+		sway_text_node_set_max_width(node, text_width);
+		wlr_scene_node_set_position(node->node, h_padding, v_padding);
+
+		pixman_region64f_union_rectf(&text_area, &text_area,
+			node->node->x, node->node->y, text_width, text_height);
 	}
 
 	if (con->title_bar.title_text) {
 		struct sway_text_node *node = con->title_bar.title_text;
 
-		int h_padding;
+		double h_padding;
 		if (title_align == ALIGN_RIGHT) {
 			h_padding = width - config->titlebar_h_padding - node->width;
 		} else if (title_align == ALIGN_CENTER) {
-			h_padding = ((int)width - marks_buffer_width - node->width) >> 1;
+			h_padding = (width - marks_buffer_width - node->width) / 2.0;
 		} else {
 			h_padding = config->titlebar_h_padding;
 		}
 
 		h_padding = MAX(h_padding, config->titlebar_h_padding);
+		h_padding = align_to_fractional(scale, h_padding);
 
-		int alloc_width = MIN((int) node->width,
+		double v_padding = (height - node->height) / 2.0;
+		v_padding = align_to_fractional(scale, v_padding);
+
+		double alloc_width = MIN(node->width,
 			width - h_padding - config->titlebar_h_padding);
 		alloc_width = MAX(alloc_width, 0);
 
-		sway_text_node_set_max_width(node, alloc_width);
-		wlr_scene_node_set_position(node->node,
-			h_padding, (height - node->height) >> 1);
+		double text_width = align_to_fractional(scale, alloc_width);
+		double text_height = align_to_fractional(scale, node->height);
 
-		pixman_region32_union_rect(&text_area, &text_area,
-			node->node->x, node->node->y, alloc_width, node->height);
+		sway_text_node_set_max_width(node, text_width);
+		wlr_scene_node_set_position(node->node, h_padding, v_padding);
+
+		pixman_region64f_union_rectf(&text_area, &text_area,
+			node->node->x, node->node->y, text_width, text_height);
 	}
 
 	// silence pixman errors
 	if (width <= 0 || height <= 0) {
-		pixman_region32_fini(&text_area);
+		pixman_region64f_fini(&text_area);
 		return;
 	}
 
-	pixman_region32_t background, border;
-
 	int thickness = config->titlebar_border_thickness;
-	pixman_region32_init_rect(&background,
-		thickness, thickness,
-		width - thickness * 2, height - thickness * 2);
-	pixman_region32_init_rect(&border, 0, 0, width, height);
-	pixman_region32_subtract(&border, &border, &background);
 
-	pixman_region32_subtract(&background, &background, &text_area);
-	pixman_region32_fini(&text_area);
+	double border_x1 = 0,
+		   border_y1 = 0;
+	double border_size = align_to_fractional(scale, thickness);
+	double background_x1 = align_to_fractional(scale, border_x1 + border_size),
+		   background_y1 = align_to_fractional(scale, border_y1 + border_size);
+	double background_x2 = align_to_fractional(scale, width - border_size),
+		   background_y2 = align_to_fractional(scale, height - border_size);
+	double border_x2 = align_to_fractional(scale, width),
+		   border_y2 = align_to_fractional(scale, height);
+
+	pixman_region64f_t background, border;
+
+	pixman_region64f_init_rectf(&background,
+		background_x1, background_y1,
+		background_x2 - background_x1, background_y2 - background_y1);
+	pixman_region64f_init_rectf(&border,
+		border_x1, border_y1,
+		border_x2 - border_x1, border_y2 - border_y1);
+	pixman_region64f_subtract(&border, &border, &background);
+
+	pixman_region64f_subtract(&background, &background, &text_area);
+	pixman_region64f_fini(&text_area);
 
 	update_rect_list(con->title_bar.background, &background);
-	pixman_region32_fini(&background);
+	pixman_region64f_fini(&background);
 
 	update_rect_list(con->title_bar.border, &border);
-	pixman_region32_fini(&border);
+	pixman_region64f_fini(&border);
 
 	container_update(con);
 }
diff --git a/sway/tree/view.c b/sway/tree/view.c
index 3d621124..0503b0da 100644
--- a/sway/tree/view.c
+++ b/sway/tree/view.c
@@ -1194,7 +1194,7 @@ void view_remove_saved_buffer(struct sway_view *view) {
 }
 
 static void view_save_buffer_iterator(struct wlr_scene_buffer *buffer,
-		int sx, int sy, void *data) {
+		double sx, double sy, void *data) {
 	struct wlr_scene_tree *tree = data;
 
 	struct wlr_scene_buffer *sbuf = wlr_scene_buffer_create(tree, NULL);
@@ -1258,7 +1258,7 @@ bool view_can_tear(struct sway_view *view) {
 }
 
 static void send_frame_done_iterator(struct wlr_scene_buffer *scene_buffer,
-		int x, int y, void *data) {
+		double x, double y, void *data) {
 	struct timespec *when = data;
 	struct wlr_scene_surface *scene_surface = wlr_scene_surface_try_from_buffer(scene_buffer);
 	if (scene_surface == NULL) {