Percentage Increase Calculator
Three ways to work with percentage increases: find the percent rise between two values, calculate a new value after a known percentage increase, or reverse-solve the original value from a final number and a percentage. Pick your mode, fill in what you know, and see the answer with a full step-by-step breakdown.
Formula
Worked example
From 50 to 75: (75 - 50) / 50 x 100 = 50% increase. Reverse: if a price is now 75 after a 50% rise, the original was 75 / 1.5 = 50. To find the new value: 50 x (1 + 20/100) = 60.
How to calculate percentage increase
A percentage increase tells you how much a value has grown relative to where it started. Subtract the original value from the new value to get the absolute change, divide that by the original value (using its absolute value to handle negatives correctly), then multiply by 100. The result is positive for a genuine increase and negative for a decrease. Dividing by the original number, not the new one, is what makes this a growth rate from the starting point rather than a share of the final number.
Finding a new value after a known percentage increase
When you know the original value and the percentage rise, multiply the original by (1 + percent / 100). A 20% increase on 50 becomes 50 x 1.20 = 60. This multiplier shortcut also lets you chain increases correctly: two successive 10% increases give 1.10 x 1.10 = 1.21, or a 21% total rise, not 20%. That compounding effect is visible in the growth chart shown for this mode.
Reverse-solving: finding the original value
If you know the final value and the percentage increase that was applied, divide the final value by (1 + percent / 100) to recover the original. A price of 75 that includes a 50% markup over cost means the original cost was 75 / 1.50 = 50. This technique is used to strip VAT or sales tax from a price, to find a pre-raise salary, or to recover the base figure from any marked-up amount.
Why the base value matters
The same absolute growth produces very different percentages depending on the starting point. Adding 10 to a value of 20 is a 50% increase, but adding the same 10 to a value of 200 is only a 5% increase. Because the original sits in the denominator, a small base magnifies the percentage and a large base shrinks it. This is why percentage increases are only fairly comparable when the starting points are similar, or when both the base and the rate are shown together.
Common percentage increase benchmarks
| Increase | Multiplier | Plain-English meaning |
|---|---|---|
| 10% | 1.10 | A typical annual pay rise in many sectors |
| 25% | 1.25 | A quarter more than the original value |
| 50% | 1.50 | Half again on top of the original |
| 100% | 2.00 | Value has doubled |
| 200% | 3.00 | Value has tripled |
| 1,000% | 11.00 | Value is eleven times the original |
Quick-reference for everyday growth figures and what they represent.
Frequently asked questions
How do I calculate percentage increase?
Subtract the original value from the new value, divide the result by the absolute value of the original, and multiply by 100. For example, going from 50 to 75 gives (75 - 50) / 50 x 100 = 50%.
What does a 100% increase mean?
A 100% increase means the value has doubled, because the amount of growth equals the original. A 200% increase means it tripled, and a 50% increase means it grew by half.
How do I find the new value after a percentage increase?
Multiply the original value by (1 + percent / 100). A 25% increase on 80 is 80 x 1.25 = 100. This is faster than calculating the added amount separately and then adding it.
How do I reverse a percentage increase to find the original value?
Divide the final value by (1 + percent / 100). If a product costs 120 after a 20% price increase, the original price was 120 / 1.20 = 100. This works for stripping VAT, recovering a pre-raise salary, or unwinding any percentage markup.
What if the new value is smaller than the original?
The formula still works, the result is simply negative, which represents a percentage decrease. For a positive figure, use the percentage decrease calculator instead or swap old and new values.
How does a percentage increase differ from a percentage point increase?
A percentage increase is relative: 5% rising to 10% is a 100% increase (it doubled). A percentage point increase is absolute: 5% rising to 10% is a 5 percentage point increase. The two are frequently confused in news reporting about interest rates and tax rates.