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Percentages -- having trouble understanding how to take a percentage of a number

  1. Apr 17, 2016 #1
    1. The problem statement, all variables and given/known data

    What is 'a' divided by a% of a?
    2. Relevant equations

    a div a/a * 100
    3. The attempt at a solution
    a/1/a/a * 100 = a/100

    which is not a correct answer. I cant define a%. In my view a% of a means 100 i.e. a/a * 100.

    Some body please guide me.

    Zulfi.
     
  2. jcsd
  3. Apr 17, 2016 #2

    SteamKing

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    How would you express a% as a decimal number? Hint: what is 50% of something as a decimal number?
     
  4. Apr 17, 2016 #3

    Ray Vickson

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    For a general value ##x##, what would be ##a\%## of ##x##? What would you get if you then put ##x = a##?
     
  5. Apr 17, 2016 #4
    Hi,
    Thanks for your attention.

    a% of x = a/x * 100
    if x = a , i would get 100.
    <
    How would you express a% as a decimal number? Hint: what is 50% of something as a decimal number?
    >
    I know about 50% as 0.5. I got this knowledge from the forum last time. But i dont know how to express a%, maybe 0.0a????

    Zulfi.
     
  6. Apr 17, 2016 #5

    Ray Vickson

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    No, you have it wrong. 50% of 50 is one-half of 50, which is 25. 10% of 10 is one-tenth of ten, which is 1.
     
  7. Apr 17, 2016 #6
    Hi,
    <50% of 50 is one-half of 50>
    = 0.5 (50)
    what about a% of a = (a/100 )* a.
    Is the above correct?
    Please guide me.
    Zulfi.
     
  8. Apr 17, 2016 #7

    Ray Vickson

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    Yes, ##a\%## of ##a## is ##(a/100)a = a^2/100##, just as you wrote.
     
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