Calculate the percentage increase between two values or find the new value after increasing a number by a percentage.
Enter both values to calculate the percentage increase.
Enter a value and a percentage to see the increase.
Percentage increase measures how much a value has grown relative to where it started, expressed as a percentage. It answers a simple question: "how much bigger is the new number, relative to the original?" — rather than just showing the raw difference between the two.
The new value minus the original value gives the raw increase amount. Dividing that by the original value expresses the increase relative to where the value started. Multiplying by 100 converts that fraction into a percentage.
| Original Value | New Value | Increase | Percentage Increase |
|---|---|---|---|
| 100 | 120 | 20 | 20% |
| 200 | 250 | 50 | 25% |
| 50 | 75 | 25 | 50% |
| 1,000 | 1,200 | 200 | 20% |
These two ideas are easy to mix up, and mixing them up changes the story a number tells. Say a percentage changes from 20% to 30%:
Both descriptions are correct, but they answer different questions. "10 percentage points" describes the raw gap between the two percentages. "50% increase" describes how large that gap is relative to the starting percentage. Going from 20% to 30% should never be casually called "a 50% increase" without making clear which of these two numbers you mean.
Percentage increase comes up anywhere a value changes over time or between two states: price increases, salary increases and raises, business and revenue growth, population growth, investment returns, sales growth, budget increases, and general statistics and reporting.
A percentage increase measures how much a value has grown relative to its original value, expressed as a percentage. Going from 100 to 125 is a 25% increase.
Subtract the original value from the new value, divide the result by the original value, then multiply by 100: ((New − Original) ÷ Original) × 100.
Percentage Increase = ((New Value − Original Value) ÷ Original Value) × 100.
Multiply the value by 0.10 to get the increase amount, then add that to the original value. Or multiply the original value directly by 1.10. Either way, 100 increased by 10% is 110.
Percentage points measure the raw difference between two percentages (20% to 30% is a 10 percentage-point increase). Percentage increase measures that same change relative to the starting percentage (((30 − 20) ÷ 20) × 100 = 50%). They answer different questions and shouldn't be used interchangeably.
If the new value is smaller than the original value, the relative change is a decrease, not an increase — this calculator will tell you that plainly and show the percentage decrease instead, rather than displaying a negative "increase."
That represents a percentage decrease. This calculator detects that automatically and labels the result as a decrease with the correct percentage, instead of showing a misleading negative increase.
Multiply the original value by the percentage and divide by 100 to get the increase amount, then add that to the original value. Switch to the "Increase a Value" mode above to do this instantly.
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