Math

Percentage Increase Calculator

Calculate the percentage increase between two values, find the new value after an increase, or reverse-solve for the original.

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Percentage Increase Formula

The percentage increase formula expresses how much a value grew relative to its starting point.

% Increase = ((New − Original) ÷ Original) × 100

Example: ((100 − 80) ÷ 80) × 100 = 25%

When to Use a Percentage Increase Calculator

Percentage increase is one of the most frequently used calculations in everyday life. Whether you are comparing last year’s salary to a new offer, tracking how much a product’s price has risen, or evaluating investment performance, expressing change as a percentage makes numbers comparable regardless of their scale.

In finance, percentage increase underpins metrics like year-over-year revenue growth, compound annual growth rate, and total investment return. In retail, it drives markup and price-change calculations. In health and fitness, it helps track improvements in speed, strength, or weight.

This calculator supports three modes: finding the percentage increase between two values, projecting a new value after applying a known rate, and reverse-solving for the original value when you know the final figure and the rate applied.

Frequently asked questions

What is the formula for percentage increase?
Percentage increase is calculated as ((New Value − Original Value) ÷ Original Value) × 100. A positive result means the value went up, while a negative result indicates it actually decreased despite the label.
How do I find the new value after a percentage increase?
Multiply the original value by (1 + rate/100). For example, a 25% increase on 80 gives 80 × 1.25 = 100. Use the 'Find New Value' mode in the calculator above to compute this instantly.
How do I reverse a percentage increase to find the original value?
Divide the new value by (1 + rate/100). If a price rose by 20% and is now $120, the original was $120 ÷ 1.20 = $100. This is useful for working out pre-increase prices before tax or markup is applied.
What is the difference between percentage increase and percentage difference?
Percentage increase measures how much a value grew relative to its original starting point. Percentage difference compares two values symmetrically without specifying a direction, using the average of both numbers as the denominator rather than the original value.
Can a percentage increase be over 100%?
Yes, a percentage increase greater than 100% simply means the value more than doubled. For instance, if a price goes from $50 to $150, the increase is 200%. There is no upper limit to how large a percentage increase can be.
How is percentage increase used in business and finance?
Businesses use percentage increase to track revenue growth, price changes, salary raises, and investment gains. It provides a standardised way to compare changes of different magnitudes and is a core component of year-over-year reporting and financial analysis.

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