Percentage Increase Calculator
Type two values and get the percentage increase or decrease between them, with the raw difference alongside. Or flip to the second tab to apply a percentage to a number, for price rises, pay changes, and discounts.
The formula, with 50 to 75 as the example
percentage change = (final - starting) ÷ starting × 100
From 50 to 75: the difference is 25. Divide by the starting value, 25 ÷ 50 = 0.5, and multiply by 100. That is a 50% increase. The most common mistake is dividing by the final value instead; 25 ÷ 75 gives 33.33%, which is the answer to a different question (the decrease from 75 back down to 50).
A quick sanity check: apply the result to the starting value and see if you land on the final one. 50 increased by 50% is 50 × 1.5 = 75. If that round trip does not work, the base was wrong.
Common changes at a glance
A few frequently looked-up pairs, all computed with the formula above.
| From | To | Change |
|---|---|---|
| 50 | 75 | +50% |
| 75 | 50 | -33.33% |
| 40 | 50 | +25% |
| 100 | 150 | +50% |
| 80 | 100 | +25% |
| 100 | 80 | -20% |
| 200 | 250 | +25% |
| 60 | 90 | +50% |
| 120 | 90 | -25% |
| 25 | 100 | +300% |
Frequently asked questions
What is the percent increase from 50 to 75?
50%. The difference is 25, and 25 divided by the starting value of 50 is 0.5, which is 50%. The starting value is always the base of the calculation.
How do I calculate percentage increase?
Subtract the starting value from the final value, divide by the starting value, then multiply by 100. From 80 to 100: (100 - 80) / 80 = 0.25, so a 25% increase. If the result comes out negative, it is a decrease.
Why is 50 to 75 a 50% increase but 75 to 50 only a 33% decrease?
Both changes move by 25, but each is measured against its own starting point. 25 is half of 50 and only a third of 75. This is also why a 50% loss needs a 100% gain to get back to even.
What is the difference between percentage change and percentage points?
Percentage change compares against the starting value; percentage points are a simple subtraction of two percentages. If a rate goes from 4% to 6%, it rose 2 percentage points but 50 percent. Headlines mix these up all the time.
Does the calculator work with negative numbers?
Yes. The change is measured against the absolute value of the starting number, so going from -50 to -25 shows as a 50% increase. The one case with no defined answer is a starting value of exactly zero, since dividing by zero is undefined.
How do I increase a number by a percentage?
Multiply it by 1 plus the rate as a decimal. To raise 240 by 15%, multiply by 1.15 to get 276. The "Apply a percentage" tab does this in one step, and decreases work the same way with 1 minus the rate.
Need other percentage math, like X% of Y or finding the original value before a discount? The main percentage calculator covers those.
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