diff --git a/Lib/test/datetimetester.py b/Lib/test/datetimetester.py
index 2f838c4..d729c7e 100644
--- a/Lib/test/datetimetester.py
+++ b/Lib/test/datetimetester.py
@@ -1351,6 +1351,17 @@
         #check that this standard extension works
         t.strftime("%f")
 
+    def test_strftime_trailing_percent(self):
+        # bpo-35066: make sure trailing '%' doesn't cause
+        # datetime's strftime to complain
+        t = self.theclass(2005, 3, 2)
+        try:
+            _time.strftime('%')
+        except ValueError:
+            self.skipTest('time module does not support trailing %')
+        self.assertEqual(t.strftime('%'), '%')
+        self.assertEqual(t.strftime("m:%m d:%d y:%y %"), "m:03 d:02 y:05 %")
+
     def test_format(self):
         dt = self.theclass(2007, 9, 10)
         self.assertEqual(dt.__format__(''), str(dt))