diff --git a/src/packaging/markers.py b/src/packaging/markers.py
index fb7f49cf..c8129770 100644
--- a/src/packaging/markers.py
+++ b/src/packaging/markers.py
@@ -292,7 +292,7 @@ def __repr__(self) -> str:
     def __hash__(self) -> int:
         return hash((self.__class__.__name__, str(self)))
 
-    def __eq__(self, other: Any) -> bool:
+    def __eq__(self, other: object) -> bool:
         if not isinstance(other, Marker):
             return NotImplemented
 
diff --git a/src/packaging/requirements.py b/src/packaging/requirements.py
index 4e068c95..eceff3f1 100644
--- a/src/packaging/requirements.py
+++ b/src/packaging/requirements.py
@@ -3,7 +3,7 @@
 # for complete details.
 from __future__ import annotations
 
-from typing import Any, Iterator
+from typing import Iterator
 
 from ._parser import parse_requirement as _parse_requirement
 from ._tokenizer import ParserSyntaxError
@@ -78,7 +78,7 @@ def __hash__(self) -> int:
             )
         )
 
-    def __eq__(self, other: Any) -> bool:
+    def __eq__(self, other: object) -> bool:
         if not isinstance(other, Requirement):
             return NotImplemented