Percentage Increase Calculator
Enter the old number and the new one. The percent, including a drop, updates as you type.
The formula
Percentage increase compares a new number with the number you started from. Divide the change by the starting value, then multiply by 100:
((new − original) ÷ original) × 100
If the result is negative, the value fell. This page labels that result as a decrease rather than hiding the sign. Adding a percent, and reversing a percent, use the two other modes above. Comparing two numbers that have no before-and-after order is a different question, answered on the percentage difference page.
Examples you can reopen
- Coffee from $4 to $5 is a 25% increase.
- The same cup back from $5 to $4 is a 20% decrease.
- Add 5% to $1,850 and the new amount is $1,942.50.
- Reverse a 30% increase that ended at 13 and the original is 10.
A starting value of 0 cannot produce a percent change, because you would be dividing by zero. The result is undefined. The same is true when you try to reverse a change of exactly −100%.
Questions people ask
How do you calculate a percentage increase?
Subtract the starting value from the new value, divide by the starting value, and multiply by 100. A move from 4 to 5 is (5 − 4) / 4 × 100, which is a 25% increase.
What if the number went down?
Use the same formula. A negative result is a decrease, and this calculator labels it that way. From 5 to 4 the change is −20%.
What happens when the starting value is 0?
The percentage is undefined, because the formula divides by the starting value. You will see the word undefined, not a blank result or an infinity symbol.
Can the result be more than 100%?
Yes. Doubling a number is a 100% increase. Going from 100 to 250 is a 150% increase. A 100% decrease means the new value is 0.
How do I add a percent, or undo one?
To add 5% to $1,850, multiply by 1.05, which is $1,942.50. To undo a 30% increase that landed on 13, divide 13 by 1.30, which returns 10. A change of exactly −100% has no single original value.
Do you store what I type?
No. The math runs in your browser. The numbers are not sent to a server to be calculated, and you do not need an account.
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