# 1.07 Percentages.

Percentages are basically just fractions (1/100 s) of some total amount. i.e. 1 % of an amount is 1/100 of the total and 60 % is 60/100 of the total.

## Finding percentages of a given value.

If you are given an amount and asked to calculate percentages of this amount, it is quite a simple process.
e.g. to find 15%, 60% and 150% of 250.

• 15 % of 250, = (250/100) x 15, = 37.5 .
• 60 % of 250, = (250/100) x 60, = 150 .
• 150 % of 250, = (250/100) x 150, = 375 .

As illustrated above, to find a percentage of any given amount, we first divide that amount by 100, then multiply by the percentage we want to find.

## Expressing one number as a percentage of another number.

• Example 1: Express 35 as a percentage of 175.
• (35/175) x 100 = 20% .
• Example 2: Express 160 as a percentage of 40.
• (160/40) x 100 = 400% .
• Example 3: Express 75 as a percentage of 300 .
• (75/300) x 100 =25%.
• As illustrated above, to express one number "a" as a percentage of another "b", we simply divide a by b then multiply by 100.