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MatematikaRia.com

# Percentages (%)

Percentage means parts per 100

### When you say "Percent" you are really saying "per 100" So 50% means 50 per 100 (50% of this box is green) And 25% means 25 per 100 (25% of this box is green)

## Examples: Percentage of 80 100% of 80 is 100/100 × 80 = 80 So 100% means all. 50% of 80 is 50/100 × 80 = 40 So 50% means half. 5% of 80 is 5/100 × 80 = 4 So 5% means 5/100ths.

## Using Percentages

Because "Percent" means "per 100" you should think "this should always be divided by 100"

So 75% really means 75/100

And 100% is 100/100, or exactly 1 (100% of any number is just the number, unchanged)

And 200% is 200/100, or exactly 2 (200% of any number is twice the number)

Use the slider on the left and try some different numbers (example, what is 60% of 80?)

### A Percentage can also be expressed as a Decimal or aFraction A Half can be written... As a percentage: 50% As a decimal: 0.5 As a fraction: 1/2

## Some Worked Examples

Calculate 25% of 80
25% = 25/100 (25/100) × 80 = 20

#### So 25% of 80 is 20

A Skateboard is reduced 25% in price in a sale. The old price was \$120. Find the new price

#### Find 25% of \$120

25% = 25/100 (25/100) × \$120 = \$30

#### So the reduction is \$30

Take the reduction from the original price \$120 - \$30 = \$90

## The Word "Percent" comes from the latin Per Centum. The latin word Centum means 100, for example a Century is 100 years.