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Thread: Help with percentages..

  1. #1
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    Help with percentages..

    Suppose I have the number 1000, I take 34% away from that which leaves me with 660..

    Lets say I have the 660 and I know that 34% was removed from number x to give me that 660.. Whats the formula to get the original number(1000) given the number 660 and the 34%????
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  2. #2
    Like a stone-audioslave ADARSH's Avatar
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    Quote Originally Posted by tgreaves View Post
    Suppose I have the number 1000, I take 34% away from that which leaves me with 660..

    Lets say I have the 660 and I know that 34% was removed from number x to give me that 660.. Whats the formula to get the original number(1000) given the number 660 and the 34%????
    $\displaystyle
    \frac{660\times 100}{x} = 34

    $
    therefore
    $\displaystyle x= \frac{660 \times 100}{34}.....formula$
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  3. #3
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    Quote Originally Posted by ADARSH View Post
    $\displaystyle
    \frac{660\times 100}{x} = 34

    $
    therefore
    $\displaystyle x= \frac{660 \times 100}{34}.....formula$
    I think im missing something here..

    $\displaystyle \frac{660 \times 100}{34}$ does not = 1000..
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  4. #4
    Air
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    Quote Originally Posted by tgreaves View Post
    Suppose I have the number 1000, I take 34% away from that which leaves me with 660..

    Lets say I have the 660 and I know that 34% was removed from number x to give me that 660.. Whats the formula to get the original number(1000) given the number 660 and the 34%????
    If you are told that $\displaystyle 34\%$ is reduced then you are aware of the fact that the value remaining is $\displaystyle 100\% - 34\% = 66\%$. For example, the value of reducing $\displaystyle 1000$ by $\displaystyle 34\%$ is the same as having $\displaystyle 65\%$ remaining.

    Given $\displaystyle \frac{a}{b} = c\%$ where $\displaystyle a$ is the value remaining, $\displaystyle b$ is the original value and $\displaystyle c\%$ is the percentage. Therefore, with manipulation it can be deduced that $\displaystyle b = (100 \times a) / c$.

    For your example, $\displaystyle b = \frac{100 \times a}{c} \rightarrow x = \frac{100 \times 660}{66}$
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