AbraCalc

Percentage Increase and Decrease Calculator

Calculate the percentage increase or decrease between two values, or find the new value after applying a percentage change.

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How to use this tool

  1. Enter the original (starting) value.
  2. Enter the new value.
  3. Read the percentage change and absolute difference.
  4. A negative percentage indicates a decrease.

Calculate the percentage change between any two numbers โ€” useful for prices, grades, salaries, and more.

Formula

Percentage Change = ((New Value โˆ’ Original Value) รท Original Value) ร— 100

If the result is positive the change is an Increase; if negative, a Decrease; if zero, No change.

How it works

This calculator computes the relative change between two values by dividing the absolute difference by the original value and expressing the result as a percentage. It simultaneously reports the raw numerical difference and labels the direction of change. The formula requires a non-zero original value; entering zero as the original will produce undefined results.

Worked example

Worked example

  1. Original value = 80; New value = 100.
  2. Absolute difference = 100 โˆ’ 80 = 20.
  3. Percentage change = (20 รท 80) ร— 100 = 25%.
  4. Since the difference is positive, the direction is Increase.

Percentage change: 25% Increase | Absolute difference: 20

Key terms

Percentage change
The relative difference between two values expressed as a percentage of the original value.
Absolute difference
The raw numerical gap between the new and original values, without reference to the original size.
Original value
The starting or reference value against which the change is measured โ€” the denominator in the percentage change formula.
Percentage increase
A positive percentage change, meaning the new value is greater than the original.
Percentage decrease
A negative percentage change, meaning the new value is less than the original.

Frequently asked questions

How do I calculate percentage increase?
Subtract the original value from the new value, divide by the original value, then multiply by 100. Example: (100 - 80) / 80 ร— 100 = 25% increase.
How do I calculate percentage decrease?
The formula is the same: (new - original) / original ร— 100. If the result is negative, you have a decrease. Example: (70 - 80) / 80 ร— 100 = -12.5%.

References & sources