What percent of 120 is 42? can you show your work, please

Question

What percent of 120 is 42?
can you show your work, please

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Lệ Thu 4 years 2021-07-21T09:04:46+00:00 2 Answers 14 views 0

Answers ( )

  1. dangkhoa
    0
    2021-07-21T09:06:15+00:00
    Reply

    Solution for 42 is what percent of 120:

    42:120*100 =

    (42*100):120 =

    4200:120 = 35

    Now we have: 42 is what percent of 120 = 35

    Question: 42 is what percent of 120?

    Percentage solution with steps:

    Step 1: We make the assumption that 120 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\%=120$100%=120​.

    Step 4: In the same vein, $x\%=42$x%=42​.

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

    $100\%=120(1)$100%=120(1)​.

    $x\%=42(2)$x%=42(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

    $\frac{100\%}{x\%}=\frac{120}{42}$
    100%
    x%​=
    120
    42​​

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

    $\frac{x\%}{100\%}=\frac{42}{120}$
    x%
    100%​=
    42
    120​​

    $\Rightarrow x=35\%$⇒x=35%​

    Therefore, $42$42​ is $35\%$35%​ of $120$120​.

  2. Philomena
    0
    2021-07-21T09:06:44+00:00
    Reply

    It’s 35%

    42/120 = 0.35

    0.35 x 100 = 35%

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