Percentage Change Calculator

Percentage change measures how much a value has grown or shrunk compared with where it started. This percentage change calculator subtracts the old value from the new value, divides by the old value and multiplies by 100. It labels the result as an increase or a decrease and also gives the symmetric percentage difference.

Try:

How to use the percentage change calculator

  1. Enter the original (old) value.
  2. Enter the new value.
  3. Press Calculate to see the percentage increase or decrease with every step.

Formula

Change %=New−Old∣Old∣×100\text{Change \%} = \frac{\text{New} - \text{Old}}{|\text{Old}|} \times 100

Worked example: 80 → 92

  • Original value: 80
  • New value: 92

✓ Answer checked

15% increase15\%\ \text{increase}
Change
1212
Percentage difference (symmetric)
13.953488…%13.953488\ldots\%
Step-by-step working (3 steps)

  1. Find the change

    Subtract the original value from the new value.

    92−80=1292 - 80 = 12

  2. Divide by the original

    Compare the change with where you started.

    1280=0.15\frac{12}{80} = 0.15

  3. Multiply by 100

    Turn the decimal into a percentage. A negative result is a decrease.

    0.15×100=15%0.15 \times 100 = 15\%
Formulas used
Change %=New−Old∣Old∣×100\text{Change \%} = \frac{\text{New} - \text{Old}}{|\text{Old}|} \times 100
How this was checked
  • ✓ Applying a 15% change to 80 gives 92.

Frequently asked questions

How do I calculate percentage increase?

Subtract the old value from the new value, divide by the old value, then multiply by 100. From 80 to 92 is (92 − 80) ÷ 80 × 100 = 15%.

What does a negative percentage change mean?

A negative result means the value went down. For example, a change of −20% is a 20% decrease.

What is the difference between percentage change and percentage difference?

Percentage change compares with the starting value. Percentage difference compares with the average of the two values, so it is the same whichever value you list first.

Related calculators

Percentage Calculator

Free percentage calculator: find X% of Y, what percent one number is of another, the whole from a part, or add and remove a percentage.

Average Calculator

Find the average (mean) of a list of numbers, or a weighted average with your own weights.

Ratio Calculator

Simplify ratios like 12:18 or 1.5:2.5, and share an amount in a given ratio.

Related guides