Percentage Change Calculator

Find the percentage increase or decrease between two values, or solve for any missing value.

Inputs

Tip: Enter any two of the three values above. The calculator will find the missing one and show all steps.
Note: Percentage change is always measured relative to the original value.

Results

Absolute change
Percentage change
Interpretation
Enter at least two values to see if this is an increase or decrease.

Step-by-step derivation

Enter any two of: original value, new value, percentage change. The calculator will compute the rest and show each algebraic step here.

Use this Percentage Change Calculator to find the percentage increase or decrease between an original value and a new value. You can also solve for the original or new value when the percentage change is known.

Calculation Method

Absolute change = new value − original value

Percentage change = ((new value − original value) ÷ original value) × 100

To find the new value:

New value = original value × (1 + percentage change ÷ 100)

Example

If a value changes from 80 to 100:

Change = 100 − 80 = 20

Percentage change = 20 ÷ 80 × 100 = 25%

The value increased by 25%.

Important Note

Percentage change is measured relative to the original value. A positive result indicates an increase and a negative result indicates a decrease. Ordinary percentage change is undefined when the original value is zero.

Source

More of our calculators...

Long Division Calculator

Use this Long Division Calculator to divide whole numbers, find quotient, remainder, decimal answer, mixed result, fraction remainder, and steps.

Square Root Calculator

Use our Square Root Calculator to find the principal square root of a number or reverse-calculate x from a square root value.

Fraction to Percentage Calculator

Convert fractions to percentages and percentages to simplified fractions. Enter numerator, denominator, or percent to get quick live results.

Prime Factorization Calculator

Use this Prime Factorization Calculator to break a whole number into prime factors, exponent form, factor pairs, all positive factors, and steps.

Area Calculator

Use this Area Calculator to calculate rectangle, square, triangle, circle, trapezoid, parallelogram, and ellipse area with unit conversion.

Log Calculator (Logarithm)

Log Calculator helps you solve logarithms with base 10, base e, base 2, or any custom base. Get fast and accurate log results online.

GCF Calculator

Use this GCF Calculator to find the greatest common factor of two or more whole numbers, with common factors, LCM, positive values, and steps.

Quadratic Formula Calculator

Use this Quadratic Formula Calculator to solve ax² + bx + c = 0, find real or complex roots, discriminant, vertex, axis of symmetry, and steps.

Probability Calculator

Calculate probability, complements, conditional probability, unions, and independent events using formulas, percentages, fractions, and decimals.