Percentage Change Calculator
Percentage change is a measure of how much a value has increased or decreased relative to its original value, expressed as a percentage. It is useful for comparing changes across different scales and contexts, from stock prices and salary adjustments to population growth and inflation. The percentage change calculator takes two values: the original value and the new value. It then calculates the percentage change, showing both the direction (increase or decrease) and magnitude of change. The formula is straightforward: divide the difference between the new and original values by the absolute value of the original value, then multiply by 100. A positive result indicates a percentage increase, while a negative result indicates a percentage decrease. The calculator also displays the absolute change (the raw difference between the values) for reference.
Percentage change formula
Percentage change = ((new value - original value) / |original value|) * 100
Absolute change = new value - original value
Examples
| Original | New | Absolute change | Percentage change |
|---|---|---|---|
| 100 | 120 | 20 | 20% |
| 100 | 80 | -20 | -20% |
| 50 | 100 | 50 | 100% |
| 200 | 150 | -50 | -25% |
| 1,000 | 1,250 | 250 | 25% |
Percentage change calculator: frequently asked questions
What is percentage change?
Percentage change measures how much a value has increased or decreased relative to its original value, expressed as a percentage. It is calculated as (new value - original value) divided by the absolute value of the original value, multiplied by 100. A positive result indicates an increase, and a negative result indicates a decrease.
How do I calculate percentage change?
The formula is: percentage change = ((new value - original value) / |original value|) * 100. For example, if a price goes from 100 to 120, the percentage change is ((120 - 100) / 100) * 100 = 20%. If it goes from 100 to 80, the percentage change is ((80 - 100) / 100) * 100 = -20%.
Why use absolute value of the original value?
The absolute value ensures that the percentage change is always relative to the magnitude of the original value, regardless of whether that value is positive or negative. This provides a consistent way to measure change and prevents division by negative numbers from creating misleading results.
Can percentage change be more than 100%?
Yes. If a value increases from 10 to 50, the percentage change is 400%. If a value decreases to zero, the percentage change is -100%. Percentage change can exceed these bounds in either direction, representing very large increases or decreases.
What is the difference between percentage change and absolute change?
Absolute change is simply the difference between the new and original values (new - original). Percentage change expresses this difference as a percentage of the original value. For example, if a value changes from 100 to 120, the absolute change is 20, and the percentage change is 20%. Percentage change is more useful for comparing changes across different scales.
Official sources
- Standard mathematical formula for percentage change.
- NIST Special Publication 330: The International System of Units.
Reviewed by the CalculatorHub team, edited by James Graham, 14 June 2026. See our methodology.