diff --git a/docs/dev/BEHAVIOUR.md b/docs/dev/BEHAVIOUR.md
index 42a19ff7..2465f9b8 100644
--- a/docs/dev/BEHAVIOUR.md
+++ b/docs/dev/BEHAVIOUR.md
@@ -261,13 +261,12 @@ counts when it needs them and asks only that the monitor it left shows a workspa
 Windows runs on `next` (komorebi `6d862a11`), with the decision of what to do with each:
 
 - **A window the user maximizes** (`maximizing.user`, the title bar button). kfde takes it as the
-  workspace's maximized window, as for `toggle-maximize`. kfw's `next` (aa353a71) does too now, and
-  the first checks pass. What differs is what the layout commands do while it is maximized: kfde
-  ignores them all, and kfw, with a window the user maximized, still ignores `move`, `cycle-move`,
-  `promote` and `unstack`, but `stack left/right` stacks the other windows (two containers become
-  one) and `toggle-float` floats the window and ends the maximize. **Which is the reference is a
-  decision, with the maintainer**; the scenario stays as it is and the Windows runner records the
-  rest as known failures.
+  workspace's maximized window, as for `toggle-maximize`, and kfw's `next` (3fa3d429) does too.
+  The two ports now agree on what the layout commands do while it is maximized: `move`,
+  `cycle-move`, `promote`, `unstack`, the resize, send and lock commands and the monocle do
+  nothing, `toggle-float` floats the maximized window and ends the maximize, and `stack left` and
+  `stack right` stack the tiles that are left. kfde used to ignore the last two as well; it
+  follows kfw (**decided**, and the only difference there was). The scenario asserts what is common.
 - **A window moved to another display by something other than a drag** (`hotplug.user_move`,
   `SetWindowPos` on Windows). kfde follows the window to the other monitor; kfw relocates a window
   only when a drag ends (`MoveResizeEnd`) and a move by any other means raises no such event, so it
diff --git a/nix/tests/vm/lib/komorebi_vm/core/scenarios/maximizing.py b/nix/tests/vm/lib/komorebi_vm/core/scenarios/maximizing.py
index c1027c54..6aa038a9 100644
--- a/nix/tests/vm/lib/komorebi_vm/core/scenarios/maximizing.py
+++ b/nix/tests/vm/lib/komorebi_vm/core/scenarios/maximizing.py
@@ -58,18 +58,18 @@ def run(platform: Platform, checks: Checks, clients: list[Client]) -> None:
     )
 
 
-# What is asked of the layout, which a maximized window is not in: none of it does anything.
+# What is asked of the layout, which a maximized window is not in: none of it does anything. Not in
+# the list, because komorebi for Windows does not ignore them either: `toggle-float`, which floats
+# the maximized window (`user` ends with it), and `stack left` and `stack right`, which stack the
+# tiles that are left.
 IGNORED = (
     "move left",
     "move right",
     "move up",
     "move down",
-    "stack left",
-    "stack right",
     "unstack",
     "cycle-move next",
     "promote",
-    "toggle-float",
     "toggle-monocle",
     "resize-edge left increase",
     "send-to-workspace 1",
@@ -165,3 +165,32 @@ def user(platform: Platform, checks: Checks, clients: list[Client]) -> None:
             timeout=20,
         ),
     )
+
+    # `toggle-float` is asked of the window in front, and that is the maximized one: it floats and
+    # is not maximized any more, as on komorebi for Windows
+    platform.user_maximize(target)
+    platform.wait_for(lambda: maximized() == target.title, timeout=20)
+    platform.komorebic("toggle-float")
+    checks.check(
+        f"toggle-float floats {target.title}, which the user maximized, and ends the maximize",
+        platform.wait_for(
+            lambda: (
+                maximized() is None
+                and [w.title for w in platform.state().workspace().floating] == [target.title]
+                and containers() == count - 1
+            ),
+            timeout=20,
+        ),
+    )
+    platform.komorebic("toggle-float")
+    checks.check(
+        f"... and again puts {target.title} back in the layout",
+        platform.wait_for(
+            lambda: (
+                containers() == count
+                and platform.state().workspace().floating == []
+                and tiled(platform, clients)
+            ),
+            timeout=20,
+        ),
+    )
diff --git a/nix/tests/vm/lib/tests/fake_platform.py b/nix/tests/vm/lib/tests/fake_platform.py
index fc222eff..1cc79884 100644
--- a/nix/tests/vm/lib/tests/fake_platform.py
+++ b/nix/tests/vm/lib/tests/fake_platform.py
@@ -24,7 +24,6 @@ ASKED_OF_THE_LAYOUT = (
     "unstack",
     "cycle-move",
     "promote",
-    "toggle-float",
     "toggle-monocle",
     "resize-edge",
     "send-to-workspace",
@@ -763,6 +762,12 @@ class FakePlatform:
                 self.paused = not self.paused
             case ("toggle-tiling",):
                 self.tiling = not self.tiling
+            case ("toggle-float",) if self.maximized is not None:
+                # a maximized window is not in the layout: floating it ends the maximize
+                self.floats.append(self.maximized)
+                self.maximized = None
+                self.max_home = None
+                self._relayout()
             case ("toggle-float",):
                 if self.floats:
                     self.containers.insert(self.focus, [self.floats.pop()])
diff --git a/nix/tests/vm/lib/tests/test_moved.py b/nix/tests/vm/lib/tests/test_moved.py
index 9539696a..45571a2a 100644
--- a/nix/tests/vm/lib/tests/test_moved.py
+++ b/nix/tests/vm/lib/tests/test_moved.py
@@ -303,7 +303,7 @@ def test_a_daemon_that_takes_up_a_maximize_passes_user_maximize() -> None:
     base = checks.passed
     maximizing.user(platform, checks, clients)
     assert checks.failed == 0, checks.failures
-    assert checks.passed - base == 8
+    assert checks.passed - base == 10
 
 
 def test_a_daemon_that_obeys_commands_when_maximized_fails_user_maximize() -> None: