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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)

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 a Fraction


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

25% of $120 is $30

So the reduction is $30

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

The Price of the Skateboard in the sale is $90

The Word

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