Free Online Calculator

Percentage Calculator

Five percentage calculators in one: percent of, percent of what, percent change and more.

Last updated: Free, no sign-up Private — runs in your browser

Quick answer: how to find a percentage

X% of Y = X ÷ 100 × Y. So 15% of 200 is 30. To find what percent 30 is of 200, divide: 30 ÷ 200 × 100 = 15%.

Overview of the Percentage Calculator

A percentage is a fraction out of 100. This page has five calculators for the questions people ask most: what is X% of Y; X is what percent of Y; X is Y% of what number; the percentage change between two values; and increasing or decreasing a number by a percentage. Each shows the working so you can learn the method.

Percentages are everywhere — discounts, interest, marks, tax and statistics. For shopping see the Percent Off Calculator and Discount Calculator; for comparing a measured value with a true value use the Percent Error Calculator.

How We Calculate

The calculator applies the standard method step by step.

  1. Percent of a number: multiply the number by the percentage ÷ 100.
  2. What percent: divide the part by the whole and multiply by 100.
  3. Find the whole: divide the part by (percentage ÷ 100).
  4. Percentage change: (new − old) ÷ |old| × 100.
  5. Increase or decrease: add or subtract (number × percentage ÷ 100).
X% of Y = X ÷ 100 × Y   change = (new − old) ÷ |old| × 100
Percentages of 200
QuestionAnswer
5% of 20010
15% of 20030
25% of 20050
50% of 200100
12.5% of 20025
Quick percentage reference
PercentageFractionDecimalOf 80
10%1/100.18
12.5%1/80.12510
20%1/50.216
25%1/40.2520
33⅓%1/30.333326.67
50%1/20.540
75%3/40.7560
100%1180

Percentage Calculator — Frequently Asked Questions

How do I calculate a percentage of a number?

Divide the percentage by 100 and multiply by the number. 15% of 200 = 0.15 × 200 = 30.

How do I find what percent one number is of another?

Divide the first number by the second and multiply by 100. 30 is 15% of 200.

How do I calculate percentage change?

Subtract the old value from the new, divide by the old value and multiply by 100. From 80 to 100 is a 25% increase.

Why is a 20% decrease not the reverse of a 25% increase?

Because the base changes. 100 up 25% is 125; 125 down 20% is 100 — the percentages differ since each is taken from a different starting value.

How do I increase a number by a percentage?

Multiply by (1 + percentage ÷ 100). To add 15% to 200: 200 × 1.15 = 230.

What is a percentage point?

The simple difference between two percentages. Going from 10% to 12% is a 2 percentage-point rise but a 20% relative increase.

How is the percentage calculator calculated?

It uses the standard method: X% of Y = X ÷ 100 × Y   change = (new − old) ÷ |old| × 100 The full working and a worked example are shown on this page.

How accurate is this calculator?

Decimal results use standard double-precision arithmetic (about 15–16 significant digits). Tools that work with whole numbers — big numbers, factors, bases, combinations — use exact integer arithmetic, so no digits are lost.

Can I use it for homework or exams?

Yes for checking your work and learning the method. The steps and formula are shown so you can understand the answer, but follow your teacher's rules about calculators in exams.

Is my data stored?

No. Everything is calculated in your browser and nothing you enter is uploaded or saved.

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