66.37 is what percent of 138.58 - 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 138.58 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 138.58, so we can write it down as 100%=138.58.
4. We know, that x% equals 66.37 of the output value, so we can write it down as x%=66.37.
5. Now we have two simple equations:
1) 100%=138.58
2) x%=66.37
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%=138.58/66.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.37 is what percent of 138.58

100%/x%=138.58/66.37
(100/x)*x=(138.58/66.37)*x       - we multiply both sides of the equation by x
100=2.0879915624529*x       - we divide both sides of the equation by (2.0879915624529) to get x
100/2.0879915624529=x
47.892913840381=x
x=47.892913840381

now we have:
66.37 is 47.892913840381% of 138.58