Percentage Change Calculator
Percentage change measures how far a number moved relative to where it started: subtract the original from the new value, divide by the size of the original, and multiply by 100. A positive result is an increase, a negative one a decrease.
- Accurate
- Real-time
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- 100% free
Percentage change
50.00%
Direction
Increase
Details
Updates as you typeThe starting number. It cannot be zero — percentage change is undefined from zero.
The number you are comparing back to the original.
Summary
Sharp increase — 50% or morePercentage change
50.00%
- Absolute difference
- 25.0000
- Direction
- Increase
- Multiplier
- 1.5000
- New as a share of original
- 150.00%
How this is calculated
- Original value
- 50.0000
- New value
- 75.0000
- New − original
- 25.0000
- Divided by |original|
- 0.500000
- Times 100
- 50.00%
Compare scenarios
See how one change moves the result
- CurrentYour inputs as they stand50.00%Current
- Original value6319.05%
- New value9488.00%
Frequently asked questions
How do I calculate percentage change?
Subtract the original value from the new value, divide that difference by the absolute value of the original, then multiply by 100. Going from 50 to 75 gives (75 − 50) ÷ 50 × 100 = 50, a 50% increase.
Why can I not use zero as the original value?
Percentage change divides by the original value, and dividing by zero is undefined. Any move away from zero is infinitely large in percentage terms, so quote the absolute difference instead when your starting point is zero.
What is the difference between percentage change and percentage points?
Percentage change is relative: a rate rising from 4% to 5% is a 25% increase. Percentage points are absolute: the same move is a rise of 1 percentage point. Financial and polling reports use points precisely to avoid this ambiguity.
Why does a 50% rise not cancel a 50% fall?
Each change is measured against a different base. Falling 50% from 100 leaves 50, and rising 50% from 50 only reaches 75. To undo a 50% fall you need a 100% rise, which is why the multiplier stat is often more honest than the percentage.
How does this work with negative numbers?
The calculator divides by the magnitude of the original value, so the sign of the result always matches the direction of the move. Going from −50 to −25 reads as a 50% increase, because the number genuinely rose.