Math
Percentage Increase Calculator
Find the percent change from one value to another. Detects increase, decrease, or no change.
From / to
Percent change
+25%
Absolute change: +25 (increase)
Frequently Asked Questions about the Percentage Increase Calculator
How do I calculate percentage increase?
Subtract the original value from the new value, divide by the original value, then multiply by 100. Formula: ((new - old) / old) x 100. From 80 to 100, the change is 20; 20 / 80 = 0.25, so the increase is 25%.
What is the difference between percentage increase and decrease?
The formula is identical for both. A positive result means an increase; a negative result means a decrease. From 100 to 80, the change is -20 / 100 = -20%, a 20% decrease.
Why is the original value the denominator?
Percentage change measures how large the shift is relative to where you started. A $10 price jump on a $20 item is a 50% increase, while the same $10 on a $1,000 item is only 1%. The original value sets the scale.
Can percentage increase exceed 100%?
Yes. Any time a value more than doubles, the increase is above 100%. Going from 50 to 200 is a change of 150, which is 3x the original value of 50, giving a 300% increase.
Why does it fail when the old value is zero?
The formula divides by the original value, and dividing by zero is mathematically undefined. If you start from zero, only the absolute change (new - old) has meaning; a percentage change cannot be computed.