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24 October, 18:13

What percent of 400 is 20?

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  1. 24 October, 18:36
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    Answer: 5%

    Explanation 1:

    20:400*100 =

    (20*100) : 400 =

    2000:400 = 5

    Explanation 2:

    Step 1: We make the assumption that 400 is 100% since it is our output value.

    Step 2: We next represent the value we seek with $x$x .

    Step 3: From step 1, it follows that $100/%=400$100%=400 .

    Step 4: In the same vein, $x/%=20$x%=20 .

    Step 5: This gives us a pair of simple equations:

    $100/%=400 (1) $100%=400 (1) .

    $x/%=20 (2) $x%=20 (2) .

    Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

    (left hand side) of both equations have the same unit (%); we have

    $/frac{100/%}{x/%}=/frac{400}{20}$

    100%

    x% =

    400

    20

    Step 7: Taking the inverse (or reciprocal) of both sides yields

    $/frac{x/%}{100/%}=/frac{20}{400}$

    x%

    100% =

    20

    400

    $/Rightarrow x=5/%$⇒x=5%

    Therefore, $20$20 is $5/%$5% of $400$400 .
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