Next week the children will be looking at percentages in maths. They will be recognising the percent symbol (%) and understand that per cent relates to ‘number of parts per hundred’ and write percentages as a fraction with denominator 100, and as a decimal.

# Per cent means ‘out of 100′

The sign **%** stands for ‘per cent’ which means ‘out of 100′.

So:

- 40% means 40 out of 100
- 11% means 11 out of 100

# Percentage of a shape

This shape is divided into 100 equal parts. What percentage of the shape is shaded?

Count and you will find that 40 of those 100 parts are shaded so therefore, **40%** of this shape is shaded. (It doesn’t matter which 40 parts are shaded).

Remember, per cent means ‘out of 100′.

This shape is not divided into 100 equal parts.

To work out the percentage of this shape that is shaded, you must first work out what each part represents.

There are 20 equal parts, so each part represents 5%.

100% (the whole) ÷ 20 = 5%

6 of the parts are shaded, so 30% of the total shape is shaded.

6 x 5% = **30%**

# Converting between percentages and decimals

To change a percentage to a decimal, **divide by 100**.

Change 48% to a decimal: 48 ÷ 100 = 0.48

To change a decimal to a percentage, **multiply by 100**.

Change 0.67 to a percentage: 0.67 x 100 = 67%

# Converting between percentages and fractions

Write the percentage as a fraction over 100 and then simplify:

Learn these equivalent fractions and percentages: