118.59 is what percent of 965.16 - 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 965.16 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 965.16, so we can write it down as 100%=965.16.
4. We know, that x% equals 118.59 of the output value, so we can write it down as x%=118.59.
5. Now we have two simple equations:
1) 100%=965.16
2) x%=118.59
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%=965.16/118.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 118.59 is what percent of 965.16

100%/x%=965.16/118.59
(100/x)*x=(965.16/118.59)*x       - we multiply both sides of the equation by x
100=8.138628889451*x       - we divide both sides of the equation by (8.138628889451) to get x
100/8.138628889451=x
12.287081934602=x
x=12.287081934602

now we have:
118.59 is 12.287081934602% of 965.16