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Thread: how to find percentages

  1. #1
    Lilveracity911
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    Question how to find percentages

    what is 65%of 160?
    and if u could give me some sample problems to look over that would be wonderful.thank you for the help.
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  2. #2
    Newbie sir nerdalot's Avatar
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    in order to calculate a percentage all you need to do is times the number that you want to know the percentage of by the percentage needed and then divide by 100...

    so for 65% of 160 you would...

    first times it by 65... = 10400
    then divide by 100... = 104

    thus 65% of 160 is 104... this is because a percentage is really a short hand of the number divided by 100... (for 65 this is 65/100)... and whenever there is an 'of' in a maths question it usually means times and so it's the number times the percentage(which is a fraction)

    hope that helps!!
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  3. #3
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    Smile This is how you solve percentage problems ...

    Quote Originally Posted by Lilveracity911 View Post
    what is 65%of 160?
    and if u could give me some sample problems to look over that would be wonderful.thank you for the help.
    $\displaystyle x$% of $\displaystyle y = \frac{x}{100} * y$

    so
    $\displaystyle 65$% of $\displaystyle 160 = \frac{65}{100} * 160 = 104$


    If you have something of the form

    $\displaystyle x$% of $\displaystyle y = z$ (where $\displaystyle x$ % = $\displaystyle x$ per cent = $\displaystyle x$ per $\displaystyle 100 = \frac{x}{100}$)

    It is same as

    $\displaystyle \frac{x}{100} * y = z$

    You can get $\displaystyle x, y,$ and $\displaystyle z$ by rearranging the terms

    $\displaystyle x = z * \frac{100}{y}$


    $\displaystyle y = z * \frac{100}{x} $


    $\displaystyle z = x * \frac{y}{100} $

    If you use the above arrangements, you should be able to solve pretty much every percentage problem you will encounter.

    Hope this helps.

    Mahurshi Akilla
    Last edited by mahurshi; Sep 5th 2007 at 04:20 PM. Reason: trying out tex
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  4. #4
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    Step by step narrated explanation

    Hi

    You can find a whole lot of sample questions and explained solutions at
    Mathematics.com.au -

    There is a whole FREE section on fractions that I'm sure you'll find very useful.

    All the best
    Patrick Murray
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  5. #5
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    Re: how to find percentages

    65/100 * 160 = 104

    X/100
    you fill in X with the %
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  6. #6
    MHF Contributor
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    Re: how to find percentages

    Quote Originally Posted by jssky View Post
    65/100 * 160 = 104

    X/100
    you fill in X with the %
    Is there a reason why you are answering a question from 2007?
    Thanks from Plato
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