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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

Answer: £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)

Answer: 81%