117.7 is what percent of 313.28 - 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 313.28 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 313.28, so we can write it down as 100%=313.28.
4. We know, that x% equals 117.7 of the output value, so we can write it down as x%=117.7.
5. Now we have two simple equations:
1) 100%=313.28
2) x%=117.7
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%=313.28/117.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 117.7 is what percent of 313.28

100%/x%=313.28/117.7
(100/x)*x=(313.28/117.7)*x       - we multiply both sides of the equation by x
100=2.6616822429907*x       - we divide both sides of the equation by (2.6616822429907) to get x
100/2.6616822429907=x
37.570224719101=x
x=37.570224719101

now we have:
117.7 is 37.570224719101% of 313.28