Translate and solve: 53.4 is what percent of 152? Rounded to the nearest tenth of a percent.

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Translate and solve: 53.4 is what percent of 152? Rounded to the nearest tenth of a percent.

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Calantha 1 year 2021-08-31T02:02:23+00:00 1 Answers 6 views 0

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    2021-08-31T02:03:29+00:00

    Answer:

    35.7%

    Step-by-step explanation:

    1. We assume, that the number 152 is 100% – because it’s the output value of the task.

    2. We assume, that x is the value we are looking for.

    3. If 100% equals 152, so we can write it down as 100%=152.

    4. We know, that x% equals 54.3 of the output value, so we can write it down as x%=54.3.

    5. Now we have two simple equations:

    1) 100%=152

    2) x%=54.3

    where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

    100%/x%=152/54.3

    6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

    7. Solution for 54.3 is what percent of 152

    100%/x%=152/54.3

    (100/x)*x=(152/54.3)*x       – we multiply both sides of the equation by x

    100=2.7992633517495*x       – we divide both sides of the equation by (2.7992633517495) to get x

    100/2.7992633517495=x

    35.723684210526=x

    x=35.723684210526

    now we have:

    54.3 is 35.723684210526% of 152

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