Percentage Increase Calculator
Calculate the percentage increase between two values with the absolute change shown.
About Percentage Increase Calculator
Percentage increase measures how much a value has grown relative to its original amount. Divide the difference (new − old) by the absolute value of the original, then multiply by 100.
Formula
Percentage Increase
Percentage Increase = ((New − Old) / |Old|) × 100
- New
- The new (final) value
- Old
- The original (initial) value
Worked example
With the default values below, Percentage Increase Calculator returns Percentage Increase of 25.0000%. Change any input above and every figure here is recalculated in your browser.
Inputs used
- Original Value
- 200
- New Value
- 250
Results
- Percentage Increase
- 25.0000%
- Absolute Change
- 50.0000
Step by step
- 1Find the absolute change= 50
- 2Divide by the original value= 0.25
- 3Multiply by 100 to get percentage= 25.0000%
Assumptions and limits
- The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
- In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
- Figures are rounded for display to 4 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.
Percentage Increase Calculator — full guide
Two numbers in, two numbers out
Give the calculator the value you started from and the value you ended with. It returns the percentage increase and the absolute change — the plain difference between them. You need both. A 25% rise means something very different on a 200 budget line than on a 2,000,000 one, and the absolute change is the figure that actually has to be funded.
This is the calculation behind a rent review, a month-on-month traffic report, a supplier quote that moved, a salary revision, or a lab reading that climbed between two tests.
The formula
Percentage Increase = ((New − Old) ÷ |Old|) × 100
- Old is the Original Value — the reference point you are measuring change *from*.
- New is the New Value, the later or final figure.
- The bars around Old mean absolute value, so a negative starting point still yields a sensibly signed answer.
Three operations, in order: take the difference, express it as a fraction of where you started, scale that fraction to a percentage.
Worked example
With the defaults, Original Value 200 and New Value 250:
- Difference: 250 − 200 = 50. That is the absolute change.
- As a fraction of the original: 50 ÷ 200 = 0.25.
- As a percentage: 0.25 × 100 = 25%.
A few more pairs, all computed the same way:
| Original | New | Absolute change | Result |
|---|---|---|---|
| 200 | 250 | 50 | 25% |
| 45 | 63 | 18 | 40% |
| 250 | 200 | −50 | −20% |
| −50 | 25 | 75 | 150% |
The direction matters
Notice rows one and three. Going 200 to 250 is +25%, but 250 back down to 200 is −20%, not −25%. The percentage is always relative to the Original Value, and swapping the inputs changes the denominator. Nearly every argument about a percentage figure traces back to disagreement over which number belongs in the Original field.
Mistakes that survive into spreadsheets
- Chaining percentages by adding them. 200 to 250 is 25% and 250 to 300 is 20%, but 200 to 300 is 50%, not 45%. Successive changes multiply: 1.25 × 1.20 = 1.50.
- Assuming an equal fall undoes a rise. Add 25% to 200 to get 250, then take 25% off and you land on 187.5.
- Confusing percent with percentage points. A rate moving from 2% to 4% is a 2 percentage point move and a 100% increase. Both statements are true and they are not interchangeable.
- Starting from zero. There is no base to divide by, so no percentage increase exists — report the absolute change instead.
For the plain "what is X% of Y" direction, use the percentage calculator. To see a price fall the same way, try the discount calculator, and for a rise compounding year after year use the inflation calculator.
Guides that use this calculator
Frequently Asked Questions
What if the new value is smaller than the old value?
You will get a negative result, which indicates a decrease rather than an increase. Use the Percentage Decrease calculator for a positive result in that case.
Can the percentage increase exceed 100%?
Yes. If the new value is more than double the original, the increase exceeds 100%. For example, going from 50 to 160 is a 220% increase.
Is a rate going from 2% to 4% a 2% increase or a 100% increase?
Both, depending on the unit. It is a rise of 2 percentage points, and entering Old 2 and New 4 here gives a 100% increase because 4 is double 2. Use percentage points when comparing two rates, and percent increase when describing how much one of them grew.
Why doesn't taking 25% back off 250 return me to 200?
Because the second percentage applies to a bigger base. A 25% rise from 200 gives 250, but 25% of 250 is 62.5, leaving 187.5. To reverse a 25% increase you need a decrease of 20% — exactly what this calculator reports if you enter Old 250 and New 200.
What does the calculator do if I leave the Original Value at 0?
Nothing useful, because the formula divides by the original value. Growth from 0 to 50 has no percentage expression — it is not 100% or 5000%, it is undefined. Quote the absolute change of 50 instead, or pick a non-zero baseline period to compare against.
Can I turn the result into an annual growth rate?
Not here. This compares two values with no time input at all, so 200 to 250 reads as 25% whether that took a week or a decade. For growth spread over a number of years, which compounds rather than adding up, use the compound interest or investment calculator instead.