# How to work out percentages

Updated on April 1, 2011 Most math concepts can be simple if one understands what the question really is...

'Percent' is a two parts word and comes from the latin PER CENTUM translated it means 'Per one hundred' in actual facts the word really explains what it wants you to calculate...

A simple way of calculating Percentages is to use the 3 step method:

1. determine what 100% of amount =
2. 1% of amount = amount divided by 100
3. ?%of amount = amount divided by 100 times ?% =

<><><><><><><><><><><><><><><>

Lets plug in some numbers into the formula. It's easier to comprehend when there are actual numbers in a formula...

What is 15% of 500?

### 3)15% of amount = 500 divided by 100 times 15 =75 or (500/100X15=75)

So the answer to what is 15% of 500 = 75

Lets do it again. What is 30% of 600 ?

1)100% = 600
2)1% = 600 / 100
3)30% = 600 / 100 X 30 = 180

So the answer to what is 30% of 600 = 180

<><><><><><><><><><><><><><><>

If the question is reversed. How many percent is 75 of 500?

1. 500 = 100%
2. 1 = 100 / 500
3. 75 = 100 / 500 x 75 = 15

answer 75 = 15 % of 500

Again How many percent is 180 of 600 ?

1. 600 = 100%
2. 1 = 100 / 600
3. 180 = 100 / 600 x 180 = 30

answer 180 = 30 % of 600

working