103.7 is what percent of 115.7 - 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 115.7 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 115.7, so we can write it down as 100%=115.7.
4. We know, that x% equals 103.7 of the output value, so we can write it down as x%=103.7.
5. Now we have two simple equations:
1) 100%=115.7
2) x%=103.7
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%=115.7/103.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 103.7 is what percent of 115.7

100%/x%=115.7/103.7
(100/x)*x=(115.7/103.7)*x       - we multiply both sides of the equation by x
100=1.1157184185149*x       - we divide both sides of the equation by (1.1157184185149) to get x
100/1.1157184185149=x
89.628349178911=x
x=89.628349178911

now we have:
103.7 is 89.628349178911% of 115.7