8235.04 is what percent of 108117.4 - 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 108117.4 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 108117.4, so we can write it down as 100%=108117.4.
4. We know, that x% equals 8235.04 of the output value, so we can write it down as x%=8235.04.
5. Now we have two simple equations:
1) 100%=108117.4
2) x%=8235.04
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%=108117.4/8235.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8235.04 is what percent of 108117.4

100%/x%=108117.4/8235.04
(100/x)*x=(108117.4/8235.04)*x       - we multiply both sides of the equation by x
100=13.128946550351*x       - we divide both sides of the equation by (13.128946550351) to get x
100/13.128946550351=x
7.6167573397067=x
x=7.6167573397067

now we have:
8235.04 is 7.6167573397067% of 108117.4