Percentages Greater than 100%

Percentages Greater than 100%

GCSE(F),

Percentage amounts can be greater than 100. This simply means that the amount being compared is greater than the original amount.

Examples

1. The power rating of a racing car engine is 600bhp (brake horse power). A new engine is rated at 120% of the previous version. What is the power rating of the new engine?

Answer: 720bhp

The old engine is 600bhp = 100%

1% of the old engine is 600 ÷ 100 = 6bhp

The new engine is 120% = 120 x 6bhp = 720bhp.

2. Widgets are sold in packs of 50. A special offer is selling widgets in packs that contain 130% of the normal amount. How many extra widgets are in each pack?

Answer: 15

The original pack is 50 widgets = 10%

1% of the original pack is 50 ÷ 100 = 0.5 widgets

130% is 130 x 0.5 widgets = 65 widgets

There are 15 extra widgets (65 - 15).