Percentage calculator

Work out a percentage of a number, find what percentage one number is of another, or calculate a percentage change. The answer appears straight away, with the working step by step.

Answer
45

18% of 250 is 45.

Formula

X=p100· L

p is the percentage and L the number you are taking it from. Dividing by 100 turns the percentage into a decimal.

How we got there

18% · 250 = 0.18 · 250 = 45

Check it: the answer divided by the number and multiplied by 100 must give back the original percentage.

How to work out a percentage of a number by hand

  1. Turn the percentage into a decimal

    Divide the percentage by 100: 18% = 18 ÷ 100 = 0.18. This is the step that matters — from here you are working with an ordinary number.

  2. Multiply the number by that decimal

    250 × 0.18 = 45. The order does not matter, so you could also work out 18 × 250 = 4500 and divide by 100.

  3. Check the answer

    45 ÷ 250 × 100% = 18%. If the original percentage comes back, the calculation is right.

  4. Shortcuts for easy percentages

    10% is dividing by 10, 50% is a half, 25% is a quarter. Almost any percentage can be assembled mentally from those three.

Want to practise this with a teacher? a lesson with a Mathema tutor

Frequently asked questions

Divide the percentage by 100 and multiply by the number. For 18% of 250: 0.18 × 250 = 45.

Divide the first number by the second and multiply by 100. 45 ÷ 250 × 100 = 18%.

Subtract the starting value from the ending value, divide by the starting value and multiply by 100. From 80 to 100 is +25%.

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