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

Question

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

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

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