How do you work out the percentage of something?

Answer 1

Percent (%) means how many hundredths are there ("cent" means 100 in Latin).

Therefore 10% means 10/100, or ten hundredths and 25% means 25/100, or 25 hundredths.

Thus to work out the percentage that 66 is of 333 you go through these steps:-

divide the number you have (66) by the total amount (333)

66/333=0.198198198

Then multiply the answer (0.198198198) by 100

0.198198198*100=19.81981982

And the answer is that 66 is 19.81981982% of 333.

To work it out in reverse - ie what is 19.81981982% of 333 you go through these steps:-

Take the percentage (19.81981982) and divide it by 100

19.81981982/100=0.198198198

Then multiply the answer (0.198198198) by the total number (333)

0.198198198*333=66

And the answer is that 19.81981982% of 333 is 66

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A percentage is a fraction, like 5/6 (five sixths) is a fraction,

but with a percentage, it is always so many hundredths.

To work out a percentage of something is the same as working out

a fraction of something.

For example, 5% of 200 is the same as 5/100ths of 200.

1/100th of 200 is 2, so 5/100ths of 200 is five times as much.

That's 10.

In general, x% of something is x/100 times that something.

See 'Percentages' in 'Source and related links' below this answer.