37.1 is what percent of 55.2 - step by step solution

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

1. We assume, that the number 55.2 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 55.2, so we can write it down as 100%=55.2.
4. We know, that x% equals 37.1 of the output value, so we can write it down as x%=37.1.
5. Now we have two simple equations:
1) 100%=55.2
2) x%=37.1
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%=55.2/37.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.1 is what percent of 55.2

100%/x%=55.2/37.1
(100/x)*x=(55.2/37.1)*x       - we multiply both sides of the equation by x
100=1.4878706199461*x       - we divide both sides of the equation by (1.4878706199461) to get x
100/1.4878706199461=x
67.210144927536=x
x=67.210144927536

now we have:
37.1 is 67.210144927536% of 55.2