Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

When we say a% of b, we mean 'a' parts out of the 100 parts of 'b'.
e.g. 1% of 200 means divide 200 in 100 equal parts and select 1 out of it, i.e. 2

what does it mean when we say any percentage of any percentage?
like, what is the significance of 100% of 100%?

share|improve this question
divide 100% in 100 equal parts and select 100 out of it, i.e. 100%. –  wildildildlife Jul 18 '12 at 11:08

1 Answer 1

up vote 3 down vote accepted

100 percent. percent=per hundred. 100% is 100 per 100=100/100=1. So 100% of 100% is 100% of 1, which is 1. 50% of 50% is 50% of .5, or half of 50%, which is .25, or 25%. You convert them to their numeric representation and multiply.

For contrast, there is the (less common) per mil, which is 1/1000. 1000 per mil = 100 per cent = 1. You're really working with decimal numbers the whole time, just with units of 1/100 or 1/1000.

share|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.