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Percentages

The numerator value when the denominator is 100

Percent

means "out of 100"

of

means "times" or "multiply"

out of

means "divide"

Convert percentages to fractions

put the percent over a 100 and remove the % sign.

Simplify if necessary

Simplify if necessary

Convert fractions to percentages

Multiply the percentage by 100 and put a % sign on the end

Convert percentages to decimals

Divide by 100 and remove the % sign

Convert decimals to percentages

Multiply by 100 and put a % sign on the end

Convert fractions to decimals

divide the numerator by the denominator

Convert decimals to fractions

Use place value!

Finding a percentage of

Remember that % means "out of 100"

So 15% of 34kg = 15/100 x 34 kg

So 15% of 34kg = 15/100 x 34 kg

Increasing by a percentage

Find the percentage of the quantity.

Add it on.

Add it on.

Decreasing by a percentage

Find the percentage of the quantity.

Take it off.

Take it off.

Expressing quantities as a percentage

If 3 out of 4 teachers are female, then convert three quarters into a percentage