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Math Help - problem with percentages

  1. #1
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    problem with percentages

    I am having a difficult time understanding how to get the percentage when the numbers are large.

    EX:

    What percentage of the total funds seized in 1994 was canadian

    A 10.5 b 20.5
    C 5.5. D 0.5

    Canadian funds $3635 American funds $721,944 Total = $725,579

    I have trouble dividing big numbers, I was wondering how I would find the whole number from the options for percents that are given.

    Any help would be appreciated!!
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  2. #2
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    Quote Originally Posted by cosmo View Post
    I am having a difficult time understanding how to get the percentage when the numbers are large.

    EX:

    What percentage of the total funds seized in 1994 was canadian

    A 10.5 b 20.5
    C 5.5. D 0.5

    Canadian funds $3635 American funds $721,944 Total = $725,579

    I have trouble dividing big numbers, I was wondering how I would find the whole number from the options for percents that are given.

    Any help would be appreciated!!
    You calculate percentages by

    p=\dfrac{individual\ value}{reference\ value} \cdot 100

    With your example:

    p=\dfrac{3635}{725579 } \cdot 100 = 0.5\%
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  3. #3
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    Earboth

    Thanks!! Can you tell me how I would do it if I only knew the total amount and the percentage? to get the Canadian funds total??

    I guess backwards say I only know the total amount and the Percentage how would I get the Whole number from those two??

    Hope that makes sense??
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  4. #4
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    Use the same equation: % = (given amount)/(total). Rearranging this gives us given amount = (%) * (total). Just make sure the percentage is a decimal.
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  5. #5
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    Quote Originally Posted by cosmo View Post
    Earboth

    Thanks!! Can you tell me how I would do it if I only knew the total amount and the percentage? to get the Canadian funds total??

    I guess backwards say I only know the total amount and the Percentage how would I get the Whole number from those two??

    Hope that makes sense??
    I finally learned by Jameson the words which describes the values in question (thanks!).

    The given amount and the total amount are compared with a scale from 0 to 100. (see attachment)

    Now you can use proportions:

    \dfrac{given\ amount}{total} = \dfrac{percentage}{100}

    Let G denote the given amount, T the total and p the percentage then you have the equation:

    \dfrac{G}{T} = \dfrac{p}{100}

    You can now solve this equation for each variable:

    \dfrac{G}{T} = \dfrac{p}{100}~\implies~G=\dfrac{p}{100} \cdot T ~\implies~T=\dfrac{G \cdot 100}{p}~\implies~p=\dfrac{G}{T} \cdot 100
    Attached Thumbnails Attached Thumbnails problem with percentages-prozent_proport.png  
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