diff --git a/app/actions/edit-actions.c b/app/actions/edit-actions.c
index 32559aea88..6dd27ba8f7 100644
--- a/app/actions/edit-actions.c
+++ b/app/actions/edit-actions.c
@@ -180,19 +180,31 @@ static const GimpEnumActionEntry edit_paste_actions[] =
     GIMP_HELP_EDIT_PASTE_IN_PLACE },
 
   { "edit-paste-into", GIMP_ICON_EDIT_PASTE_INTO,
-    NC_("edit-action", "Paste _Into Selection"), NULL, { NULL },
+    NC_("edit-action", "Paste as Floating Data _Into Selection"), NULL, { NULL },
     NC_("edit-action",
         "Paste the content of the clipboard into the current selection"),
     GIMP_PASTE_TYPE_FLOATING_INTO, FALSE,
     GIMP_HELP_EDIT_PASTE_INTO },
 
   { "edit-paste-into-in-place", GIMP_ICON_EDIT_PASTE_INTO,
-    NC_("edit-action", "Paste Int_o Selection In Place"), NULL, { NULL },
+    NC_("edit-action", "Paste as Floating Data Int_o Selection In Place"), NULL, { NULL },
     NC_("edit-action",
         "Paste the content of the clipboard into the current selection "
         "at its original position"),
     GIMP_PASTE_TYPE_FLOATING_INTO_IN_PLACE, FALSE,
-    GIMP_HELP_EDIT_PASTE_INTO_IN_PLACE }
+    GIMP_HELP_EDIT_PASTE_INTO_IN_PLACE },
+
+  { "edit-paste-float", GIMP_ICON_EDIT_PASTE,
+    NC_("edit-action", "Paste as _Floating Data"), NULL, { NULL },
+    NC_("edit-action", "Paste the content of the clipboard as Floating Data"),
+    GIMP_PASTE_TYPE_FLOATING, FALSE,
+    GIMP_HELP_EDIT_PASTE },
+
+  { "edit-paste-float-in-place", GIMP_ICON_EDIT_PASTE,
+    NC_("edit-action", "Paste as Floa_ting Data In Place"), NULL, { NULL },
+    NC_("edit-action", "Paste the content of the clipboard as Floating Data at its original position"),
+    GIMP_PASTE_TYPE_FLOATING_IN_PLACE, FALSE,
+    GIMP_HELP_EDIT_PASTE }
 };
 
 static const GimpEnumActionEntry edit_fill_actions[] =
diff --git a/app/actions/select-actions.c b/app/actions/select-actions.c
index 33c7e4c40c..c74c9a84f3 100644
--- a/app/actions/select-actions.c
+++ b/app/actions/select-actions.c
@@ -58,10 +58,16 @@ static const GimpActionEntry select_actions[] =
     select_invert_cmd_callback,
     GIMP_HELP_SELECTION_INVERT },
 
-  { "select-float", GIMP_ICON_LAYER_FLOATING_SELECTION,
-    NC_("select-action", "_Float"), NULL, { "<primary><shift>L", NULL },
-    NC_("select-action", "Create a floating selection"),
-    select_float_cmd_callback,
+  { "select-cut-float", GIMP_ICON_LAYER_FLOATING_SELECTION,
+    NC_("select-action", "Cu_t and Float"), NULL, { "<primary><shift>L", NULL },
+    NC_("select-action", "Cut the selection directly into a floating selection"),
+    select_cut_float_cmd_callback,
+    GIMP_HELP_SELECTION_FLOAT },
+
+  { "select-copy-float", GIMP_ICON_LAYER_FLOATING_SELECTION,
+    NC_("select-action", "_Copy and Float"), NULL, { NULL },
+    NC_("select-action", "Copy the selection directly into a floating selection"),
+    select_copy_float_cmd_callback,
     GIMP_HELP_SELECTION_FLOAT },
 
   { "select-feather", NULL,
@@ -182,9 +188,13 @@ select_actions_update (GimpActionGroup *group,
   SET_SENSITIVE ("select-all",    image && ! sel_all);
   SET_SENSITIVE ("select-none",   image && sel);
   SET_SENSITIVE ("select-invert", image);
-  SET_SENSITIVE ("select-float",  g_list_length (drawables) == 1 && sel                 &&
-                                  ! gimp_item_is_content_locked (drawables->data, NULL) &&
-                                  ! gimp_viewable_get_children (drawables->data));
+
+  SET_SENSITIVE ("select-cut-float",  g_list_length (drawables) == 1 && sel                 &&
+                                      ! gimp_item_is_content_locked (drawables->data, NULL) &&
+                                      ! gimp_viewable_get_children (drawables->data));
+  SET_SENSITIVE ("select-copy-float", g_list_length (drawables) == 1 && sel                 &&
+                                      ! gimp_item_is_content_locked (drawables->data, NULL) &&
+                                      ! gimp_viewable_get_children (drawables->data));
 
   SET_SENSITIVE ("select-feather", image && sel);
   SET_SENSITIVE ("select-sharpen", image && sel);
diff --git a/app/actions/select-commands.c b/app/actions/select-commands.c
index 5d92dd4b56..ef62926ace 100644
--- a/app/actions/select-commands.c
+++ b/app/actions/select-commands.c
@@ -67,6 +67,10 @@ static void   select_shrink_callback  (GtkWidget *widget,
                                        gdouble    size,
                                        GimpUnit   unit,
                                        gpointer   data);
+static void   select_float            (GimpAction *action,
+                                       GVariant   *value,
+                                       gboolean    cut,
+                                       gpointer    data);
 
 
 /*  public functions  */
@@ -108,33 +112,19 @@ select_invert_cmd_callback (GimpAction *action,
 }
 
 void
-select_float_cmd_callback (GimpAction *action,
-                           GVariant   *value,
-                           gpointer    data)
+select_cut_float_cmd_callback (GimpAction *action,
+                               GVariant   *value,
+                               gpointer    data)
 {
-  GimpImage *image;
-  GtkWidget *widget;
-  GList     *drawables;
-  GError    *error = NULL;
-  return_if_no_image (image, data);
-  return_if_no_widget (widget, data);
+  select_float (action, value, TRUE, data);
+}
 
-  drawables = gimp_image_get_selected_drawables (image);
-  if (gimp_selection_float (GIMP_SELECTION (gimp_image_get_mask (image)),
-                            drawables,
-                            action_data_get_context (data),
-                            TRUE, 0, 0, &error))
-    {
-      gimp_image_flush (image);
-    }
-  else
-    {
-      gimp_message_literal (image->gimp,
-                            G_OBJECT (widget), GIMP_MESSAGE_WARNING,
-                            error->message);
-      g_clear_error (&error);
-    }
-  g_list_free (drawables);
+void
+select_copy_float_cmd_callback (GimpAction *action,
+                                GVariant   *value,
+                                gpointer    data)
+{
+  select_float (action, value, FALSE, data);
 }
 
 void
@@ -692,3 +682,34 @@ select_shrink_callback (GtkWidget *widget,
                        TRUE);
   gimp_image_flush (image);
 }
+
+static void
+select_float (GimpAction *action,
+              GVariant   *value,
+              gboolean    cut,
+              gpointer    data)
+{
+  GimpImage *image;
+  GtkWidget *widget;
+  GList     *drawables;
+  GError    *error = NULL;
+  return_if_no_image (image, data);
+  return_if_no_widget (widget, data);
+
+  drawables = gimp_image_get_selected_drawables (image);
+  if (gimp_selection_float (GIMP_SELECTION (gimp_image_get_mask (image)),
+                            drawables,
+                            action_data_get_context (data),
+                            cut, 0, 0, &error))
+    {
+      gimp_image_flush (image);
+    }
+  else
+    {
+      gimp_message_literal (image->gimp,
+                            G_OBJECT (widget), GIMP_MESSAGE_WARNING,
+                            error->message);
+      g_clear_error (&error);
+    }
+  g_list_free (drawables);
+}
diff --git a/app/actions/select-commands.h b/app/actions/select-commands.h
index e6d2a30b64..b9c550478c 100644
--- a/app/actions/select-commands.h
+++ b/app/actions/select-commands.h
@@ -28,7 +28,10 @@ void   select_none_cmd_callback             (GimpAction *action,
 void   select_invert_cmd_callback           (GimpAction *action,
                                              GVariant   *value,
                                              gpointer    data);
-void   select_float_cmd_callback            (GimpAction *action,
+void   select_cut_float_cmd_callback        (GimpAction *action,
+                                             GVariant   *value,
+                                             gpointer    data);
+void   select_copy_float_cmd_callback       (GimpAction *action,
                                              GVariant   *value,
                                              gpointer    data);
 void   select_feather_cmd_callback          (GimpAction *action,
diff --git a/menus/image-menu.ui.in.in b/menus/image-menu.ui.in.in
index 51de2da9bb..44e392e973 100644
--- a/menus/image-menu.ui.in.in
+++ b/menus/image-menu.ui.in.in
@@ -90,10 +90,16 @@
         <item><attribute name="action">app.edit-paste-in-place</attribute></item>
         <submenu>
           <attribute name="label" translatable="yes" context="edit-action">Paste _as</attribute>
-          <item><attribute name="action">app.edit-paste-merged</attribute></item>
-          <item><attribute name="action">app.edit-paste-merged-in-place</attribute></item>
-          <item><attribute name="action">app.edit-paste-into</attribute></item>
-          <item><attribute name="action">app.edit-paste-into-in-place</attribute></item>
+          <section>
+            <item><attribute name="action">app.edit-paste-merged</attribute></item>
+            <item><attribute name="action">app.edit-paste-merged-in-place</attribute></item>
+          </section>
+          <section>
+            <item><attribute name="action">app.edit-paste-float</attribute></item>
+            <item><attribute name="action">app.edit-paste-float-in-place</attribute></item>
+            <item><attribute name="action">app.edit-paste-into</attribute></item>
+            <item><attribute name="action">app.edit-paste-into-in-place</attribute></item>
+          </section>
           <item><attribute name="action">app.edit-paste-as-new-image</attribute><attribute name="label-variant">long</attribute></item>
         </submenu>
         <submenu>
@@ -143,7 +149,11 @@
         <item><attribute name="action">app.select-all</attribute></item>
         <item><attribute name="action">app.select-none</attribute></item>
         <item><attribute name="action">app.select-invert</attribute></item>
-        <item><attribute name="action">app.select-float</attribute></item>
+        <submenu>
+          <attribute name="label" translatable="yes" context="view-action">_Float</attribute>
+          <item><attribute name="action">app.select-cut-float</attribute></item>
+          <item><attribute name="action">app.select-copy-float</attribute></item>
+        </submenu>
         <item><attribute name="action">app.tools-by-color-select-short</attribute></item>
         <item><attribute name="action">app.vectors-selection-from-vectors</attribute></item>
         <item><attribute name="action">app.dialogs-selection-editor</attribute></item>
diff --git a/menus/selection-menu.ui b/menus/selection-menu.ui
index 23337119ca..9a8f6bda18 100644
--- a/menus/selection-menu.ui
+++ b/menus/selection-menu.ui
@@ -10,7 +10,10 @@
       <item><attribute name="action">app.select-none</attribute></item>
       <item><attribute name="action">app.select-invert</attribute></item>
       <item><attribute name="action">app.vectors-selection-from-vectors</attribute></item>
-      <item><attribute name="action">app.select-float</attribute></item>
+      <section>
+        <item><attribute name="action">app.select-cut-float</attribute></item>
+        <item><attribute name="action">app.select-copy-float</attribute></item>
+      </section>
       <section>
         <item><attribute name="action">app.select-feather</attribute></item>
         <item><attribute name="action">app.select-sharpen</attribute></item>