Page 288 - Math Smart - 7

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Sheet Percent and Percentage

'Percent' means 'per hundred'. We use the symbol, %, for percent.
We say 'the percentage of a quantity.

Converting percentages to fractions and decimals

Examples
175
a) 32% b) 175% =
100
32 _i 100 =
1
100
" - ' 100 100
= ^ Simplify = Simplify
1
0 44%=^ d) 155%= if

= 0.44 = 1.55

Converting fractions and decimals to percentages

Examples
a) 3 _ 3 X 20 b) 14 5
5 " 5 X 20
60=^ X :WtJ'% Multiply by 100%
60
•" 100
1
= 60%
= 14X5% Simplify
= 70%

Comparing fractions, decimals and percentages

We can convert all the terms to percentages.

Percentage of a quantity

Example:
Method 1 Method 2

100%
15% of 60= ^ x^
Find 1%
.sr
1
15% ^ x-fS- Multiply by 15
= 3X3
= 9
1
15% of 60 = 9
= 9
15% of 60 = 9

UNIT 12 Percentages