Calculate any percentage problem instantly with our free online percentage calculator. Whether you need to find what 25% of 80 is, determine what percentage 30 is of 150, or calculate the percentage change between two numbers, this tool handles all common percentage calculations with step-by-step explanations. Percentages appear everywhere in daily life: shopping discounts, tip calculations, test scores, investment returns, and business metrics. Our calculator supports five essential calculation types: finding a percentage of a number (X% of Y), determining what percentage one number is of another, calculating percentage change between two values, calculating percentage increase, and calculating percentage decrease. Enter your values and get instant, accurate results.
Enter your details and click Calculate to see results.
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Choose the type of percentage calculation you need.
Input the two numbers for the calculation.
See the result with a full explanation of the formula used.
A percentage represents a number as a fraction of 100. The word "percent" comes from the Latin "per centum" meaning "by the hundred." Understanding percentages is essential for everyday math like calculating discounts, tips, grades, investment returns, and more. Our calculator uses these standard formulas to ensure accurate results for all percentage problems.
The calculator supports five common percentage operations. First, "X% of Y" finds a percentage of any number using the formula: Result = Y × (X ÷ 100). Second, "X is what % of Y" determines what percentage one number represents of another: Percentage = (X ÷ Y) × 100. Third, "% Change" calculates the percentage difference between two values: Change = ((New - Original) ÷ Original) × 100. Fourth, percentage increase calculates growth: New Value = Original × (1 + Percentage ÷ 100). Fifth, percentage decrease calculates reduction: New Value = Original × (1 - Percentage ÷ 100).
For quick calculations without a calculator, use these shortcuts. To find 10%, simply move the decimal point one place left (10% of 450 = 45). For 25%, divide by 4 (25% of 80 = 20). For 50%, divide by 2 (50% of 150 = 75). For 20%, find 10% and double it. For 15%, find 10% and add half of that amount.
Multiply Y by X divided by 100. For example, 25% of 200: 200 × (25 ÷ 100) = 200 × 0.25 = 50. Alternatively, convert the percentage to a decimal by moving the decimal point two places left, then multiply.
