# How do you work out percentages?

### Nicholas Hutter

Actuarial Science student at LSE with over 7 years tutoring experience.

To calculate the percentage increase: First: work out the difference (increase) between the two numbers you are comparing. Increase = New Number - Original Number Then:  divide the increase by the original number and multiply the answer by 100. % increase = Increase ÷ Original Number × 100. If your answer is a negative number then this is a percentage decrease. To calculate percentage decrease: First: work out the difference (decrease) between the two numbers you are comparing. Decrease = Original Number - New Number Then: divide the decrease by the original number and multiply the answer by 100. % Decrease = Decrease ÷ Original Number × 100 If your answer is a negative number then this is a percentage increase.

### Anna Chase

Knowledgeable, Calm and Patient tutor

Divide by 100, then multiply by the percentage. Let me give you an example. What is 30% of 1000? First, you do 1000/100 which gives you 10. Then you do 10 x 30 which gives you 300. So, 30% of 1000 is 300 :)

### Pellumb Ahmetaj

QTS Secondary school Maths teacher with 4 years experience 💪💯

It can be either done by dividing the two numbers in question and then multiplying by 100 so that you go from a decimal answer to a percentage one. Or you can create a fraction with your two numbers (a/b) and search for equivalent fractions that are easy to convert into percentages such as those with denominator 4,8,10,100 etc.