About this calculator
The Percent Increase Calculator helps you find the percentage increase between two numbers or calculate the new value after applying a percentage increase. It is useful for prices, wages, growth, traffic, marks, measurements, and business changes.
percent increase calculator formula
To find the increase percentage, compare the increase with the original value. To apply an increase, multiply by one plus the percentage as a decimal.
- percent increase = ((new value - original value) / original value) x 100
- new value = original value x (1 + percent / 100)
How to use the percent increase calculator
- Choose whether to find the percentage increase or the new value.
- Enter the original value.
- Enter the new value or the increase percentage.
- For percentage increase, subtract original from new.
- Divide by the original value and multiply by 100.
- For new value, multiply by 1 plus the decimal percentage.
Worked examples
Find the increase
Input: 100 to 125
Calculation: ((125 - 100) / 100) x 100
Result: 25% increase
Apply an increase
Input: Original 80, increase 10%
Calculation: 80 x 1.10
Result: 88
Applying an increase
A 15% increase means the new value is 115% of the original. As a multiplier, that is 1.15.
Common mistake
Do not divide by the new value when finding percentage increase. The original value is the reference.
Percentage calculation note
This calculator is for education, checking, and general planning. Percentage results depend on the inputs and the chosen method, so check whether your question asks for percent change, percent difference, percent error, reverse percentage, or a simple conversion.
- Percent change has direction, but percent difference does not.
- Reverse percentage calculations can be confused with percentage increase or decrease.
- Rounded percentages may not reverse exactly to the original values.
Frequently asked questions
Does this show the working?
Yes. The percentage calculators show the key formula and calculation steps.
What does percent mean?
Percent means per hundred, so 25% means 25 out of 100.
Why do some percentage answers differ?
Different percentage questions use different reference values. Percent change, percent difference, and percent error are not the same.
Can percentages be more than 100?
Yes. A percentage can be above 100 when a value is larger than the reference whole.
Should I round the answer?
Round only to the precision required by your homework, report, invoice, or calculation context.
Related calculators
- Percent Change Calculator
- Percent Decrease Calculator
- Percent to Total Calculator