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Cent means 100. In Latin cent is Centum, which means 100. Also, we know Century is 100 years or when you score 100 runs in a cricket match, you have got a century.

So;

Percent = Per cent = Per 100 (Out of 100)

Out of 100 cubes 25 cubes are coloured. This is 25 / 100, which means 25% of the diagram is coloured or ¼ of the diagram is coloured.

25 / 100 = 25 % = ¼

Out of 100 cubes 50 cubes are coloured. This is 50 / 100, which means 50% of the diagram is coloured or ½ of the diagram is coloured.

50 / 100 = 50 % = ½

Out of 100 cubes 75 cubes are coloured. This is 75 / 100, which means 75% of the diagram is coloured or ¾ of the diagram is coloured.

A percent can also be shown as a fraction or a decimal.

Examples of percent to fraction to decimal;

Percentage

Fraction

Decimal

47%

47 / 100

0.47

11%

11 / 100

0.11

2%

2 / 100

0.02

60%

60 / 100

0.6

90%

90 / 100

0.9

Important percent, fraction and decimal relationships that you should know for quick maths solutions

Percentage calculations

Examples of percentage calculations

(1) 35% of children in a school excursion are boys. What percentage are girls?

100% – 35 % = 65%

(2) Find 30% of 60

30% = 30 / 100 30% of 60 = 30 / 100 of 60 = 30 / 100 x 60 = 18

(3) 15% of 300 eggs are broken. How many eggs are broken?

15% = 15 / 100 15% of 300 = 15 / 100 of 300 = 15 / 100 x 300 = 45

(4) The old price of a surfboard was $450. The price was dropped by 20% in a sale. What is the new price of the surfboard?

Step 1: Find the amount dropped.

20% of $450 20% = 20/100 20% of $450 = 20 / 100 x $450 = $90

Step 2: Now find the new price.

$450 – $90 = $360

What is a percentage? Now you can answer this question easily and know how to do calculations in percentages. To practise more calculations in percents click the link below.