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Homework Help: Type of answer: 10% of 20% of 30%

  1. Jun 29, 2017 #1
    1. The problem statement, all variables and given/known data
    What is10% of 20% of 30%?

    I have a confusion:
    If we are asked to find 20% of 50, then it would be:
    20/100 * 50, (Note answer won’t be in percentage)

    Now 10% of 20% of 30% should be:

    10/100 * 20/100 * 30/100

    The above answer should not be in percentage. Am I right or not??

    2. Relevant equations
    same as the equation of finding percentage

    3. The attempt at a solution
    see above.

    Some body please guide me whether the answer of 10% of 20% of 30% would be in percentage or not. In order to convert it into percentage we have to multiply by 100??Yes/No??.
  2. jcsd
  3. Jun 29, 2017 #2


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    I would answer in percentage.
  4. Jun 29, 2017 #3


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    I expect that it makes sense to give the answer as a percent.

    While 20% of 50 is 10, and not 10%, it does make sense to say that 20% of 50% is 10% .
  5. Jun 29, 2017 #4
    Thanks for providing this distinction between the two.

  6. Jun 30, 2017 #5


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    Yes, in order to get back to percent, you need to multiply by 100. You can "almost" think of percent like units, if it helps. But it really is a rate (which operates on other quantities), not an actual unit. But it may help you to keep track of what to do.

    So think of percent as "per hundred" (like there are 100 cents in a dollar, 100 years in a century, etc.) So 20% becomes 20*(1/100) = 0.2 which is the number that you use to multiply other numbers by. So if you have 0.006 and want to get to percent, try this:
    0.006 = x*(1/100), and solve for x. Multiply both by 100 and get 100*0.006 = x, and 0.6 = x, since x is 0.6 it is 0.6%
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