diff --git a/homeassistant/util/percentage.py b/homeassistant/util/percentage.py
index c257ca2268c..ec05a2dc2ec 100644
--- a/homeassistant/util/percentage.py
+++ b/homeassistant/util/percentage.py
@@ -66,7 +66,8 @@ def ranged_value_to_percentage(
     (1,255), 127: 50
     (1,255), 10: 4
     """
-    return int((value * 100) // states_in_range(low_high_range))
+    offset = low_high_range[0] - 1
+    return int(((value - offset) * 100) // states_in_range(low_high_range))
 
 
 def percentage_to_ranged_value(
@@ -83,7 +84,8 @@ def percentage_to_ranged_value(
     (1,255), 50: 127.5
     (1,255), 4: 10.2
     """
-    return states_in_range(low_high_range) * percentage / 100
+    offset = low_high_range[0] - 1
+    return states_in_range(low_high_range) * percentage / 100 + offset
 
 
 def states_in_range(low_high_range: tuple[float, float]) -> float:
diff --git a/tests/util/test_percentage.py b/tests/util/test_percentage.py
index 31420d3c076..37e4c6d9615 100644
--- a/tests/util/test_percentage.py
+++ b/tests/util/test_percentage.py
@@ -147,3 +147,34 @@ async def test_percentage_to_ranged_value_small():
     assert math.ceil(percentage_to_ranged_value(range, 66)) == 4
     assert math.ceil(percentage_to_ranged_value(range, 83)) == 5
     assert math.ceil(percentage_to_ranged_value(range, 100)) == 6
+
+
+async def test_ranged_value_to_percentage_starting_at_one():
+    """Test a range that starts with 1."""
+    range = (1, 4)
+
+    assert ranged_value_to_percentage(range, 1) == 25
+    assert ranged_value_to_percentage(range, 2) == 50
+    assert ranged_value_to_percentage(range, 3) == 75
+    assert ranged_value_to_percentage(range, 4) == 100
+
+
+async def test_ranged_value_to_percentage_starting_high():
+    """Test a range that does not start with 1."""
+    range = (101, 255)
+
+    assert ranged_value_to_percentage(range, 101) == 0
+    assert ranged_value_to_percentage(range, 139) == 25
+    assert ranged_value_to_percentage(range, 178) == 50
+    assert ranged_value_to_percentage(range, 217) == 75
+    assert ranged_value_to_percentage(range, 255) == 100
+
+
+async def test_ranged_value_to_percentage_starting_zero():
+    """Test a range that starts with 0."""
+    range = (0, 3)
+
+    assert ranged_value_to_percentage(range, 0) == 25
+    assert ranged_value_to_percentage(range, 1) == 50
+    assert ranged_value_to_percentage(range, 2) == 75
+    assert ranged_value_to_percentage(range, 3) == 100