Pricing & profit / Percentage Calculator

Percentage Calculator

Work out any percentage question in one place: what X% of a number is, what percent one number is of another, or the whole when you know a part and its percent.
%

Enter a number

Enter a number

20% of 150
30
120Rest of the whole
30part
150whole
20%percent
0whole 150
  • Part (20%)
  • Rest (80%)
Whole (Y)150
Percent20%
Part30
Formula · 150 × 0.230

Quick check: 10% of 150 is 15, so 20% is 2 times that.

See breakdown

How the percentage calculation works

  1. Pick the question you need answered

    Every percentage problem has three numbers: the part, the whole and the percent. Choose which one you are looking for; you enter the other two.

  2. X% of Y = Y × X ÷ 100

    20% of 150 is 150 × 0.20 = 30. Move the decimal point two places to turn a percent into a decimal.

  3. X is what % of Y = X ÷ Y × 100

    30 out of 150 is 30 ÷ 150 = 0.2, which is 20%.

  4. The whole = X ÷ (P ÷ 100)

    If 30 is 20% of a number, the number is 30 ÷ 0.20 = 150.

Worked example. A customer pays a 20% deposit on a $150 order. 20% of 150 is 30, so the deposit is $30 and $120 is still due. Turned around, 30 is 20% of 150, and if you only know the $30 deposit is 20%, the full order is 30 ÷ 0.20 = 150.

Percentage FAQ

How do you calculate a percentage of a number?

Turn the percent into a decimal and multiply. 20% of 150 is 0.20 × 150 = 30. On a phone calculator, type 150 × 20 % or 150 × 0.2.

How do I work out what percent one number is of another?

Divide the part by the whole and multiply by 100. 30 is what percent of 150? 30 ÷ 150 = 0.2, so 20%.

How do I find the whole number from a percentage?

Divide the part by the percent as a decimal. If $30 is 20% of the price, the price is 30 ÷ 0.20 = $150.

What is the formula for percentage?

Percent = part ÷ whole × 100. The same formula, turned around, gives part = whole × percent ÷ 100 and whole = part ÷ percent × 100.

Is X% of Y the same as Y% of X?

Yes. 20% of 150 and 150% of 20 are both 30, because both are 20 × 150 ÷ 100. Use whichever is easier to do in your head.

How do I calculate a percentage increase or decrease?

Subtract the old number from the new one, divide by the old number and multiply by 100. Going from 150 to 180 is 30 ÷ 150 = a 20% increase. The percent change, percentage increase and percentage decrease calculators do this for you.

How do I take a percent off a price?

Multiply the price by 1 minus the percent. 20% off $150 is $150 × 0.80 = $120. The percent off calculator also handles a second, stacked discount.

Related calculators