52.37 is what percent of 59.7 - 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 59.7 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 59.7, so we can write it down as 100%=59.7.
4. We know, that x% equals 52.37 of the output value, so we can write it down as x%=52.37.
5. Now we have two simple equations:
1) 100%=59.7
2) x%=52.37
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%=59.7/52.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52.37 is what percent of 59.7

100%/x%=59.7/52.37
(100/x)*x=(59.7/52.37)*x       - we multiply both sides of the equation by x
100=1.139965629177*x       - we divide both sides of the equation by (1.139965629177) to get x
100/1.139965629177=x
87.721943048576=x
x=87.721943048576

now we have:
52.37 is 87.721943048576% of 59.7