37.87 is what percent of 62.13 - 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 62.13 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 62.13, so we can write it down as 100%=62.13.
4. We know, that x% equals 37.87 of the output value, so we can write it down as x%=37.87.
5. Now we have two simple equations:
1) 100%=62.13
2) x%=37.87
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%=62.13/37.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.87 is what percent of 62.13

100%/x%=62.13/37.87
(100/x)*x=(62.13/37.87)*x       - we multiply both sides of the equation by x
100=1.6406126221283*x       - we divide both sides of the equation by (1.6406126221283) to get x
100/1.6406126221283=x
60.95284081764=x
x=60.95284081764

now we have:
37.87 is 60.95284081764% of 62.13