117.35 is what percent of 4509.72 - 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 4509.72 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 4509.72, so we can write it down as 100%=4509.72.
4. We know, that x% equals 117.35 of the output value, so we can write it down as x%=117.35.
5. Now we have two simple equations:
1) 100%=4509.72
2) x%=117.35
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%=4509.72/117.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 117.35 is what percent of 4509.72

100%/x%=4509.72/117.35
(100/x)*x=(4509.72/117.35)*x       - we multiply both sides of the equation by x
100=38.429654878568*x       - we divide both sides of the equation by (38.429654878568) to get x
100/38.429654878568=x
2.602157118402=x
x=2.602157118402

now we have:
117.35 is 2.602157118402% of 4509.72