diff --git a/graphene/types/enum.py b/graphene/types/enum.py
index bc61cd4c..ab398f92 100644
--- a/graphene/types/enum.py
+++ b/graphene/types/enum.py
@@ -9,7 +9,9 @@
 def eq_enum(self, other):
     if isinstance(other, self.__class__):
         return self is other
-    return self.value is other
+    if isinstance(other, PyEnum):
+        return NotImplemented
+    return self.value == other
 
 
 def hash_enum(self):
diff --git a/graphene/types/tests/test_enum.py b/graphene/types/tests/test_enum.py
index e6fce66c..a14e883d 100644
--- a/graphene/types/tests/test_enum.py
+++ b/graphene/types/tests/test_enum.py
@@ -613,3 +613,15 @@ def resolve_color(_, info):
     results = schema.execute("query { color }")
     assert not results.errors
     assert results.data["color"] == RGB.description.name
+
+
+def test_enum_value_equality():
+    class Kind(Enum):
+        FAVORABLE = "favorable"
+        UNFAVORABLE = "unfavorable"
+
+    # non-interned string to avoid identity matching
+    val = "".join(["favor", "able"])
+    assert Kind.FAVORABLE == val
+    assert Kind.FAVORABLE == "favorable"
+    assert Kind.FAVORABLE != "unfavorable"