diff --git a/src/PIL/ImageOps.py b/src/PIL/ImageOps.py
index 0c3f900caac..c03cf751a57 100644
--- a/src/PIL/ImageOps.py
+++ b/src/PIL/ImageOps.py
@@ -18,6 +18,7 @@
 #
 
 import functools
+import math
 import operator
 import re
 
@@ -255,11 +256,11 @@ def contain(image, size, method=Image.Resampling.BICUBIC):
 
     if im_ratio != dest_ratio:
         if im_ratio > dest_ratio:
-            new_height = int(image.height / image.width * size[0])
+            new_height = math.ceil(image.height / image.width * size[0])
             if new_height != size[1]:
                 size = (size[0], new_height)
         else:
-            new_width = int(image.width / image.height * size[1])
+            new_width = math.ceil(image.width / image.height * size[1])
             if new_width != size[0]:
                 size = (new_width, size[1])
     return image.resize(size, resample=method)