One Quantity as a Percentage of Another

## One Quantity as a Percentage of Another

To calculate the percentage of an amount, turn the percentage into a fraction (by dividing by 100), then carry out the calculation:

38% of 420

= frac(38)(100) x 420

= 0.38 x 420

= 159.6

## Example 1

A saver ticket works out at 70% of the cost of a full price ticket. If a full price ticket is £130, what is the saver ticket price?

70% x 130

= frac(70)(100) x 130

= 0.7 x 130

= 91

## Example 2

A car is purchased for £8000. Three years later it is sold for £6500. What percentage was the sold price compared to the original price? Give your answer to 2 significant figures.

The result can be worked out from:

frac(text(sale price))(text(original price)) = frac(6500)(8000) = 0.8125

Multiply by 100 to change the decimal to a percentage:

0.8125 x 100 = 81.25% = 81% (2sf)