Home / Education & Math / Percentage Calculator 02 · A little clarity EXAMPLE RESULT
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How to use Choose the question that matches your problem, then enter X and Y in the order shown. For increase and decrease, X is the original value and Y is the new value. Calculate to see the result and substituted arithmetic.
For related tasks, try the Fraction Calculator .
Formula & how it works X% of Y = X × Y/100. Percent change = (new − original)/original × 100. Percent difference = |X − Y| ÷ ((X + Y)/2) × 100.
Worked examples Example 1 20% of 150 = 20 ÷ 100 × 150 = 30.
Example 2 An increase from 80 to 100 is (100 − 80) ÷ 80 × 100 = 25%. The percentage difference is 20 ÷ 90 × 100 = 22.2222%.
Assumptions & practical notes Change modes require a positive original value. Difference uses nonnegative values and their average as the denominator.
Percentage points are an absolute subtraction: moving from 20% to 25% is 5 percentage points, but a 25% relative increase.
See our calculation methodology for unit definitions and testing practices.
Frequently asked questions Why does reversing a change give a different percentage? The denominator changes. A rise from 80 to 100 is 25%; returning from 100 to 80 is a 20% decrease.
Can the base be zero? No for division-based percentages. A percent of zero is zero, but a change from zero has no finite percentage.
Related calculators Fraction Calculator Add, subtract, multiply, divide, and convert fractions, mixed numbers, and decimals.
Open calculator → Grade Calculator Calculate your class grade from points or weighted assignments, or find a test grade from questions missed.
Open calculator → Average Calculator Find the arithmetic mean, sum, count, minimum, and maximum of a number list.
Open calculator → Percent Error Calculator Compare a measured value with a reference value and find absolute percentage error, signed difference and direction.
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Updated 2026-09-22 
CalcCommons