Math
Percentage Calculator
Solve common percentage problems with three quick modes: percent of value, what percent, and percentage change.
Enter the values above to calculate the result.
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Percentage Formulas
Percent of value
Result = (Percent / 100) x Value
What percent
Percent = (Part / Total) x 100
Percentage change
((New - Old) / Old) x 100
What is a Percentage?
A percentage is a way of expressing a number as a fraction of 100. The word ’percent’ literally means ’per hundred,’ so 25% means 25 out of 100, or 0.25 as a decimal.
Percentages are used everywhere: in sales discounts, interest rates, test scores, growth rates, and data analysis. They make it easy to compare proportions and changes on a standardized scale that everyone understands.
Frequently asked questions
How do I find X% of a number?
Multiply the number by X and divide by 100. Example: 25% of 240 is (25 / 100) × 240 = 60. Or simply move the decimal two places and multiply.
What does percentage change mean?
Percentage change shows how much a value increased or decreased as a proportion of the original value. A positive result means the value grew; a negative result means it declined.
Why is my percentage change negative?
A negative percentage change means the new number is lower than the old number. For example, if a value dropped from 200 to 150, the percentage change is −25%.
How do I calculate a percentage increase?
Subtract the original value from the new value, divide by the original value, then multiply by 100. For example, if a price went from $80 to $100, the increase is ((100 − 80) / 80) × 100 = 25%.
What is the difference between percentage points and percent change?
Percentage points measure the arithmetic difference between two percentages. For example, a rate rising from 10% to 15% is a 5 percentage point increase, but a 50% relative change. Confusing the two is a common mistake in financial and political reporting.