Question 1

How do I calculate a percentage?

Accepted Answer

To calculate a percentage, divide the part by the whole and multiply by 100. For example, 30 out of 150 is (30 ÷ 150) × 100 = 20%. The same formula works whether you are calculating a test score, a discount, or any ratio expressed out of one hundred.

Question 2

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

Accepted Answer

Divide the first number (the part) by the second number (the whole) and multiply by 100. So 45 out of 60 is (45 ÷ 60) × 100 = 75%. Tab B of this calculator performs that calculation instantly as you type.

Question 3

What is 20% of a number?

Accepted Answer

To find 20% of any number, multiply the number by 0.20, or divide it by 5. For example, 20% of 150 is 150 × 0.20 = 30. A quick mental shortcut is to find 10% by moving the decimal one place to the left, then double it.

Question 4

How do I calculate a percentage increase?

Accepted Answer

Subtract the original value from the new value, divide that difference by the original value, and multiply by 100. If a price rises from $80 to $100, the increase is ((100 − 80) ÷ 80) × 100 = 25%. A dedicated percentage increase calculator is coming soon.

Question 5

How do I reverse calculate a percentage?

Accepted Answer

If you know a result and the percentage it represents, divide the result by the percentage expressed as a decimal. So if $30 is 20% of an original price, the original is 30 ÷ 0.20 = $150. Tab D of this calculator handles reverse percentages directly.

Question 6

What is the percentage of a percentage?

Accepted Answer

A percentage of a percentage is found by multiplying the two percentages together as decimals. For example, 20% of 50% is 0.20 × 0.50 = 0.10, or 10%. This comes up with stacked discounts — a 20% coupon applied to an item already 50% off gives 10% of the original price as the additional saving.

Question 7

How do I calculate a percentage on a calculator?

Accepted Answer

On a standard calculator, divide the part by the whole and press the % key, or multiply and divide manually as (part ÷ whole) × 100. Many calculators also accept expressions like 150 × 20% directly, which returns 30. This online calculator does the same work without any keystrokes.

Question 8

How do I calculate VAT from a total?

Accepted Answer

To find a 20% VAT amount included in a gross total, divide the total by 1.20 to get the net, then subtract the net from the total. For a £120 gross price, the net is 120 ÷ 1.20 = £100, so the VAT is £20. To add VAT to a net price, multiply by 0.20 and add the result back.

Question 9

What is the easiest way to calculate 10% of something?

Accepted Answer

Move the decimal point one place to the left. So 10% of 250 is 25, and 10% of 4,800 is 480. Once you know 10%, you can quickly find 5% by halving it, 20% by doubling it, and 15% by adding 10% to half of 10%.

Question 10

What is the difference between percentage and percentile?

Accepted Answer

A percentage expresses a part out of one hundred — scoring 80% on a test means 80 of 100 marks. A percentile is a rank — being in the 80th percentile means you scored higher than 80% of the people who took it, regardless of the raw score. Our Percentile Calculator covers the statistical case.

Percentage	Fraction	Decimal	Example
10%	1/10	0.10	10% of 200 = 20
12.5%	1/8	0.125	12.5% of 80 = 10
20%	1/5	0.20	20% of 150 = 30
25%	1/4	0.25	25% of 120 = 30
33.3%	1/3	0.333	33.3% of 90 = 30
50%	1/2	0.50	50% of 60 = 30
66.7%	2/3	0.667	66.7% of 90 = 60
75%	3/4	0.75	75% of 80 = 60

Percentage Calculator — Find Percents in Four Modes

Common Percentage Values

How to calculate a percentage

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