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Math Help - 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%????
     <br />
\frac{660\times 100}{x} = 34<br /> <br />
    therefore
    x= \frac{660 \times 100}{34}.....formula
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  3. #3
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    Quote Originally Posted by ADARSH View Post
     <br />
\frac{660\times 100}{x} = 34<br /> <br />
    therefore
    x= \frac{660 \times 100}{34}.....formula
    I think im missing something here..

    \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 34\% is reduced then you are aware of the fact that the value remaining is 100\% - 34\% = 66\%. For example, the value of reducing 1000 by 34\% is the same as having 65\% remaining.

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

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