Enter an original value and a new value to calculate the percentage increase or decrease instantly. Both values must be zero or greater.
Enter both values to see your results.
To use this percentage increase calculator, enter the starting amount in Original Value and the updated amount in New Value. The tool calculates the difference, divides it by the original value, and multiplies by 100. A positive result means an increase; a negative result means a decrease.
(New Value − Original Value) ÷ Original Value × 100
Change amount:New Value − Original Value
New value after a known percentage increase:Original Value × (1 + Increase Rate ÷ 100)
Absolute difference:|New Value − Original Value|
For a percentage increase, the new value is larger than the original value. For a percentage decrease, the new value is smaller. The percentage is always measured against the original value, not the new value. This distinction matters when calculating price changes, salary growth, business performance, or other comparisons.
| Original Value | New Value | Percentage Change | Interpretation |
|---|---|---|---|
| 100 | 110 | +10% | Increase |
| 100 | 125 | +25% | Increase |
| 100 | 150 | +50% | Increase |
| 100 | 200 | +100% | Increase |
| 100 | 80 | −20% | Decrease |
| 100 | 100 | 0% | No change |
| Increase Rate | Multiply Original By | New Value from 100 |
|---|---|---|
| 5% | 1.05 | 105 |
| 10% | 1.10 | 110 |
| 20% | 1.20 | 120 |
| 50% | 1.50 | 150 |
| 100% | 2.00 | 200 |
Step 1: Subtract the original price from the new price: 150 − 100 = 50.
Step 2: Divide by the original price: 50 ÷ 100 = 0.5.
Step 3: Multiply by 100: 0.5 × 100 = 50%.
Result: 50% increase.
Step 1: Find the change: 100 − 80 = 20.
Step 2: Divide by the original sales amount: 20 ÷ 80 = 0.25.
Step 3: Convert to a percentage: 0.25 × 100 = 25%.
Result: 25% increase.
Step 1: Find the change: 150 − 200 = −50.
Step 2: Divide by the original value: −50 ÷ 200 = −0.25.
Step 3: Multiply by 100: −0.25 × 100 = −25%.
Result: 25% decrease.
Percentage change and percentage points are different. If a rate rises from 20% to 25%, the change is 5 percentage points, but the relative percentage increase is (25 − 20) ÷ 20 × 100 = 25%. Another common mistake is dividing by the new value instead of the original value. Always use the starting value as the denominator for standard percentage change.
When the original value is zero, the standard percentage change formula cannot be calculated because division by zero is undefined. The calculator will still show the numeric difference, but it will not invent a percentage or multiplier. For other useful calculation tools, explore our online calculators collection.
Subtract the original number from the new number, divide by the original number, and multiply by 100. For example, from 40 to 50: (50 − 40) ÷ 40 × 100 = 25%.
The formula is ((New Value − Original Value) ÷ Original Value) × 100, provided the original value is not zero.
Yes. If the new value is smaller than the original value, the result is negative and is labeled as a decrease.
Percentage change is undefined because the formula requires division by the original value. A numeric difference can still be calculated.
Change amount is the new value minus the original value, expressed in the same units as the inputs. Percentage change compares that difference with the original value and expresses it as a percentage.
Multiply the original value by 1.15. For example, 200 × 1.15 = 230. This is different from finding the percentage change between two known values.
Disclaimer: Results are estimates for general information; check official records for legal matters.