Percentage Change Calculator

Instantly calculate percentage increase or decrease between two values — including absolute change and automatic detection of growth or decline.


Values
% Change
0%
Change Amount
0
Change Type

About the Percentage Change Calculator

The Percentage Change Calculator measures how much a value has grown or declined relative to its original amount. Enter an old value and a new value to instantly get the percentage change, absolute change, and whether it's an increase or decrease.

Formulas Used

Change Amount     = New Value − Old Value
Percentage Change = ((New − Old) ÷ Old) × 100

A positive result means an increase; a negative result means a decrease.

Example Calculations

  • Sales: $8,000 → $10,000 → Change = +$2,000, Percentage Change = +25%
  • Temperature: 80°F → 60°F → Change = −20°F, Percentage Change = −25%
  • Traffic: 500 → 1,500 visits → Change = +1,000, Percentage Change = +200%
  • Stock: $120 → $90 → Change = −$30, Percentage Change = −25%

Percentage Change vs. Percentage Difference

These two measures are related but answer different questions:

  • Percentage Change — divides by the original value. Directional — tells you how much something grew or shrank from a defined starting point. Best for before/after comparisons (e.g., revenue last month vs this month).
  • Percentage Difference — divides by the average of both values. Symmetric — best when neither value is clearly the "original" (e.g., comparing two products' prices). See the Difference Calculator.

Example: comparing 100 and 120 gives a percentage change of 20% but a percentage difference of 18.18%.

When Percentage Change Is Undefined

If the old value is 0, percentage change cannot be computed — dividing by zero is undefined. In practice this situation is typically reported as "not applicable" or ∞.

Business and Finance Applications

  • Year-over-year (YoY) growth — compare this year's revenue to last year's
  • Month-over-month (MoM) change — track how a metric shifts each month
  • Inflation rate — price level change between two time periods
  • Investment return — how much a portfolio gained or lost from its purchase price
  • Population growth — demographic change between census periods
  • Grade improvement — how much a test score changed between two attempts

For calculating a specific percent of a value or finding what percent one number is of another, see the Percentage Calculator.

Frequently Asked Questions

How do you calculate percentage change?

Subtract the old value from the new value, divide by the old value, then multiply by 100. Formula: ((New − Old) ÷ Old) × 100. Example: from 80 to 100 → ((100 − 80) ÷ 80) × 100 = 25%.

What is the difference between percentage change and percentage difference?

Percentage change divides by the original (old) value — it's directional and shows how much something grew or shrank from a specific starting point. Percentage difference divides by the average of both values — it's symmetric and doesn't treat either value as the 'original.' Going from 100 to 120: percentage change = 20%, percentage difference = 18.18%.

What does a negative percentage change mean?

A negative result means the value decreased. For example, a stock price dropping from $100 to $75 gives a percentage change of −25%, which means it lost 25% of its value.

Can percentage change exceed 100%?

Yes. If the new value more than doubles the old value, the change exceeds 100%. Going from 50 to 150 is +200%; from 50 to 200 is +300%.

What happens if the old value is 0?

Percentage change is mathematically undefined when the old value is 0, because you cannot divide by zero. In practice, this is typically reported as 'not applicable' or 'infinite.'

How do I calculate year-over-year growth?

Enter last year's figure as the old value and this year's figure as the new value. For example, revenue of $120K this year vs $100K last year: ((120 − 100) ÷ 100) × 100 = 20% YoY growth.

Can the calculator handle decimals or negative numbers?

Yes. It supports both decimal and negative inputs, making it useful for tracking temperature changes, financial losses, or any metric that fluctuates below zero.