Pythagorist
Percentages

Percentage of a Number Calculator

Find what X% of a number is. Enter a percentage and a number to get an instant result with full step-by-step working. The calculator converts the percentage to a decimal and multiplies — showing you exactly how it works.

20% of 150

30

How it works

  1. Convert the percentage to a decimal

    20÷100=0.220 \div 100 = 0.2

    Divide the percentage by 100 to get the decimal multiplier: 20% = 0.2.

    Result:0.2

  2. Multiply by the number

    0.2×150=300.2 \times 150 = 30

    Multiply the decimal by 150: 0.2 × 150 = 30.

    Result:30

The formula

P% of N=P100×NP\% \text{ of } N = \frac{P}{100} \times N
PPThe percentage
NNThe number

Example substitution

20% of 150=20100×150=0.2×150=3020\% \text{ of } 150 = \frac{20}{100} \times 150 = 0.2 \times 150 = 30

Convert 20% to 0.2 by dividing by 100, then multiply by 150.

Worked examples

What is 20% of 150?

  1. 1
    Convert %: 20 ÷ 100 = 0.2
  2. 2
    Multiply: 0.2 × 150 = 30
Answer: 30

What is 7.5% of 400?

  1. 1
    Convert %: 7.5 ÷ 100 = 0.075
  2. 2
    Multiply: 0.075 × 400 = 30
Answer: 30

What is 35% of 260?

  1. 1
    Convert %: 35 ÷ 100 = 0.35
  2. 2
    Multiply: 0.35 × 260 = 91
Answer: 91

Frequently asked questions

How do you find a percentage of a number?+

Divide the percentage by 100, then multiply by the number. E.g., 15% of 80 = 0.15 × 80 = 12.

What is 10% of 250?+

10% of 250 = 0.10 × 250 = 25.

What is 17.5% of 400?+

17.5% of 400 = 0.175 × 400 = 70.

How do you find 1% of a number?+

Divide the number by 100. Finding 1% first is a useful strategy for working out other percentages mentally.

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