diff --git a/src/PIL/ImageOps.py b/src/PIL/ImageOps.py
--- a/src/PIL/ImageOps.py
+++ b/src/PIL/ImageOps.py
@@ -70,7 +70,9 @@ def autocontrast(image, cutoff=0, ignore=None):
     becomes white (255).
 
     :param image: The image to process.
-    :param cutoff: How many percent to cut off from the histogram.
+    :param cutoff: The percent to cut off from the histogram on the low and
+                   high ends. Either a tuple of (low, high), or a single
+                   number for both.
     :param ignore: The background pixel value (use None for no background).
     :return: An image.
     """
@@ -88,12 +90,14 @@ def autocontrast(image, cutoff=0, ignore=None):
                     h[ix] = 0
         if cutoff:
             # cut off pixels from both ends of the histogram
+            if not isinstance(cutoff, tuple):
+                cutoff = (cutoff, cutoff)
             # get number of pixels
             n = 0
             for ix in range(256):
                 n = n + h[ix]
             # remove cutoff% pixels from the low end
-            cut = n * cutoff // 100
+            cut = n * cutoff[0] // 100
             for lo in range(256):
                 if cut > h[lo]:
                     cut = cut - h[lo]
@@ -103,8 +107,8 @@ def autocontrast(image, cutoff=0, ignore=None):
                     cut = 0
                 if cut <= 0:
                     break
-            # remove cutoff% samples from the hi end
-            cut = n * cutoff // 100
+            # remove cutoff% samples from the high end
+            cut = n * cutoff[1] // 100
             for hi in range(255, -1, -1):
                 if cut > h[hi]:
                     cut = cut - h[hi]

diff --git a/Tests/test_imageops.py b/Tests/test_imageops.py
--- a/Tests/test_imageops.py
+++ b/Tests/test_imageops.py
@@ -300,3 +300,14 @@ def check(orientation_im):
                     "Tests/images/hopper_orientation_" + str(i) + ext
                 ) as orientation_im:
                     check(orientation_im)
+
+
+def test_autocontrast_cutoff():
+    # Test the cutoff argument of autocontrast
+    with Image.open("Tests/images/bw_gradient.png") as img:
+
+        def autocontrast(cutoff):
+            return ImageOps.autocontrast(img, cutoff).histogram()
+
+        assert autocontrast(10) == autocontrast((10, 10))
+        assert autocontrast(10) != autocontrast((1, 10))

Autocontrast cutoff improvement
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### What did you do?
I am trying to improve image contrast.

### What did you expect to happen?
I expect to be able to control the cutoff values for each side of the histograms. 

### What actually happened?
The cutoff value of PIL.ImageOps.autocontrast() cutoff the histogram from both side. What should happen is the user should be given the custom control to specify the percentage cutoff of both the right and the left side separately
### What are your OS, Python and Pillow versions?

* OS: Windows 10
* Python: Python 3.8.2 
* Pillow: PIL 7.1.2

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-->

```python
from PIL import Image, ImageOps

img = Image.open("ky.jpg").convert("L")

edited = ImageOps.autocontrast(img, cutoff=4

edited.save("pil_1.jpg")
```

