The value fell by 20 from a starting value of 200.
Percent change calculator
Percentage Change Calculator
Use this calculator when you have an old value and a new value, and you want the relative percentage change. It shows whether the value increased, decreased, or stayed the same.
Percent change calculator
Calculate percentage change
Enter the old value and new value to calculate percentage change, direction, difference, formula, and steps.
Answer
Increase
25%100 to 125 is a 25% increase.
- Difference
- 25
- Percent change
- 25%
Formula
((new value - old value) / old value) x 100- Subtract 100 from 125 to get 25.
- Divide 25 by 100.
- Multiply by 100: 25% increase.
Formula
Percentage Change Calculator formula
Use the formula when you want to check the calculation by hand.
((new value - old value) / old value) x 100- Subtract the old value from the new value.
- Divide by the old value.
- Multiply by 100 to show the change as a percentage.
Want to understand the equation and the meaning of a negative result? Read the percent change formula guide with increase and decrease examples.
Examples
Common percentage change calculator examples
These examples show the same formula with different numbers.
The value rose by 30 from a starting value of 120.
The old and new values are the same.
The value rose by 21, and 21 divided by 104 is 0.2019.
The value fell by 27, and 27 divided by 90 is 0.3.
The value fell by 80 from the old value of 1,000.
Use cases
When to use this percentage change calculator
Pick the calculator that matches the wording of the problem.
Before and after
Use percentage change when one value clearly happened before the other and the old value is the base.
Increase or decrease
Calculate percent change for rises, falls, or no change without switching to separate formulas.
Decreases and drops
Use this page to calculate decrease percentage for prices, counts, scores, or measurements that went down.
Avoid mixed bases
Changing the base from old value to new value gives a different percentage, so keep the old value as the denominator.
Choose the right formula
Percentage change vs related calculators
This page owns old-to-new movement. Pick another calculator when the problem is only growth, only a discount, or a side-by-side comparison.
Use percentage change for old-to-new movement
Choose this page when one value is the starting value and the other value comes later. The result can be positive, negative, or zero.
Use percentage increase for growth only
If the new value is higher and you only need the upward growth result, use the percentage increase calculator.
percentage increase calculatorUse percentage difference for comparisons
If neither value is the starting point, use the percentage difference calculator because it uses the average as its base.
percentage difference calculatorUse percent off for discounts
If the question is about a sale price or discount, use the percent off calculator instead.
percent off calculatorRelated calculators
Choose another percentage calculator
Use a focused page when your percentage question has a narrower meaning.
- percentage calculatorUse the broad calculator for mixed percentage questions.
- percentage increase calculatorUse this when a value went up from an original value.
- percentage difference calculatorUse this when you are comparing two values side by side.
- percent off calculatorUse this for discounts and sale prices.
FAQ
Percentage Change Calculator questions
Short answers for common calculation questions.
How do you calculate percentage change?
Subtract the old value from the new value, divide the result by the old value, then multiply by 100.
What is the percentage change formula?
The percentage change formula is ((new value - old value) / old value) x 100.
How do you calculate percent change?
Use the old value as the base. Find the difference between the new value and old value, divide by the old value, then multiply by 100.
Can percentage change be negative?
Yes. A negative result means the new value is lower than the old value, so the result is a percentage decrease.
When should I use percentage difference instead?
Use percentage difference when neither value is clearly the starting value. Percentage difference compares two values using their average as the base.