The word percent means “out of one hundred”
% means ÷ 100
Percentages are just fractions with a denominator of 100
Examples
As simplified fractions:
And as decimals:
Converting between percentages ,fractions and decimals
This is just the same as turning a fraction into a percentage.
Example
Fred attained 23 marks out of 40 for his test.
What was has score as a percentage ?
Sometimes it is easier just to calculate the equivalent fraction that gives a denominator of 100:
Examples
Convert the percentage into a fraction then follow the rules for calculating fractions.
Example
Find 20% of £45
Convert to a decimal, then multiply.
Example
Find 20% of £45
to find 1% of a value – just divide by 100
to find 10% of a value – just divide by 10
to find 100% of a value – just divide by 1
Example
Find 20% of £45
Useful tips:
To find 5% , half 10% or multiply 1% by 5
Examples
VAT is currently at 20%, but used to be at 17.5%
To calculate VAT at 20 %, divide the value by 10 and double !
Examples
Calculate the VAT at 20% on an item costing £450.
A lawnmower costs £450 ex VAT.
What is the price inclusive of VAT ?
Vat @ 17.5% is very easy to calculate:
17.5% = 10% + 5% + 2.5%
so,
Example
Calculate the VAT due at 17.5% on an article costing £360.
VAT due is £63
Save yourself effort – divide the number in front of the percentage sign by 100.
100% = 1
10 % = 0.1
1% = 0.01
0.1% = 0.001
Examples
90% of £34,567 = 0.9 x 34,567 = £31,110.30
235.6% of £34,567 = 2.356 x 34,567 = £81439.85