diff --git a/src/librustdoc/html/static/js/main.js b/src/librustdoc/html/static/js/main.js
index 9ceeeb5ae8f..604ab147f6a 100644
--- a/src/librustdoc/html/static/js/main.js
+++ b/src/librustdoc/html/static/js/main.js
@@ -390,7 +390,8 @@ function loadCss(cssUrl) {
         }
 
         if (document.activeElement.tagName === "INPUT" &&
-            document.activeElement.type !== "checkbox") {
+            document.activeElement.type !== "checkbox" &&
+            document.activeElement.type !== "radio") {
             switch (getVirtualKey(ev)) {
             case "Escape":
                 handleEscape(ev);
@@ -1082,6 +1083,9 @@ function loadCss(cssUrl) {
      * Show the help popup menu.
      */
     function showHelp() {
+        // Prevent `blur` events from being dispatched as a result of closing
+        // other modals.
+        getHelpButton().querySelector("a").focus();
         const menu = getHelpMenu(true);
         if (menu.style.display === "none") {
             window.hideAllModals();
diff --git a/tests/rustdoc-gui/settings.goml b/tests/rustdoc-gui/settings.goml
index 72de41e41ba..4c72ed51a49 100644
--- a/tests/rustdoc-gui/settings.goml
+++ b/tests/rustdoc-gui/settings.goml
@@ -203,6 +203,25 @@ press-key: "?"
 wait-for-css: ("#help-button .popover", {"display": "block"})
 assert-css: ("#settings-menu .popover", {"display": "none"})
 
+// Now switch back to the settings popover, and make sure the keyboard
+// shortcut works when a check box is selected.
+click: "#settings-menu > a"
+wait-for-css: ("#settings-menu .popover", {"display": "block"})
+focus: "#auto-hide-large-items"
+press-key: "?"
+wait-for-css: ("#settings-menu .popover", {"display": "none"})
+wait-for-css: ("#help-button .popover", {"display": "block"})
+
+// Now switch back to the settings popover, and make sure the keyboard
+// shortcut works when a check box is selected.
+click: "#settings-menu > a"
+wait-for-css: ("#settings-menu .popover", {"display": "block"})
+wait-for-css: ("#help-button .popover", {"display": "none"})
+focus: "#theme-system-preference"
+press-key: "?"
+wait-for-css: ("#settings-menu .popover", {"display": "none"})
+wait-for-css: ("#help-button .popover", {"display": "block"})
+
 // Now we go to the settings page to check that the CSS is loaded as expected.
 goto: "file://" + |DOC_PATH| + "/settings.html"
 wait-for: "#settings"