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Percentage Calculators

Percentage math: increase, decrease, change, and reverse calculations.

Percentage CalculatorWork out any percentage of a number (what is X% of Y?) and see the value with that percentage added or subtracted.Percentage Increase CalculatorCalculate the new value after increasing a number by a given percentage.Percentage Decrease CalculatorCalculate the new value after decreasing a number by a given percentage.Percentage Change CalculatorCalculate the percentage increase or decrease between an old value and a new value.Percentage Difference CalculatorCalculate the percentage difference between two values with no fixed 'before' value.What Percentage Is X of Y CalculatorFind out what percentage one number is of another.Reverse Percentage CalculatorFind the original number before a percentage was applied, given the result and the percentage.Discount Percentage CalculatorFind the discount percentage applied between an original price and a sale price.Percentage Error CalculatorCalculate percentage error between an estimated or measured value and the actual value.

Which percentage calculator should I use?

Percentage questions look similar, but the correct formula depends on what you know and what you are trying to find. Use Percentage Calculator for “what is X% of Y?”, What Percentage Is X of Y when you know the part and the whole, and Reverse Percentage when you need to work backward to an original value.

For two values over time, use Percentage Change because the old value is the baseline. For two independent values where neither is the starting point, use Percentage Difference. Increase, decrease, discount, and error calculators provide more specific versions of those common percentage problems.

Percentage formulas at a glance

QuestionFormulaUse
What is X% of Y?(X ÷ 100) × YTips, portions, commissions
What % is X of Y?(X ÷ Y) × 100Shares, scores, proportions
Percentage change(New − Old) ÷ |Old| × 100Before-and-after values
Percentage difference|A − B| ÷ ((A + B) ÷ 2) × 100Independent values

Good to know before you calculate

Most percentage questions fit one of three patterns: finding X% of a number (Percentage Calculator), finding what percentage one number is of another (What Percentage Is X of Y), or finding the original before a percentage was applied (Reverse Percentage).

Percentage change is directional — going from 50 to 65 is +30%, but 65 back to 50 is −23.1%. When neither value is the 'before', use Percentage Difference, which divides by the average instead.

Percentage points and percent are different: a rate moving from 4% to 5% rose one percentage point, which is a 25% increase.

Percentage calculator FAQs

How do I know which percentage calculator to use?

Finding X% of a number: Percentage Calculator. Finding what share one number is of another: What Percentage Is X of Y. Undoing a percentage: Reverse Percentage.

Why doesn't a 10% rise followed by a 10% fall return to the start?

The fall is taken from a larger number. 100 → 110 → 99, so the net change is −1%.

What is a percentage point?

The simple difference between two percentages. A rate moving from 4% to 5% rose by one percentage point, or 25%.