37 is what percent of 115 - step by step solution

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To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 115 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 115, so we can write it down as 100%=115.
4. We know, that x% equals 37 of the output value, so we can write it down as x%=37.
5. Now we have two simple equations:
1) 100%=115
2) x%=37
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%=115/37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37 is what percent of 115

100%/x%=115/37
(100/x)*x=(115/37)*x - we multiply both sides of the equation by x
100=3.10810810811*x - we divide both sides of the equation by (3.10810810811) to get x
100/3.10810810811=x
32.1739130435=x
x=32.1739130435

now we have:
37 is 32.1739130435% of 115

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