118.75 is what percent of 94.875 - 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 94.875 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 94.875, so we can write it down as 100%=94.875.
4. We know, that x% equals 118.75 of the output value, so we can write it down as x%=118.75.
5. Now we have two simple equations:
1) 100%=94.875
2) x%=118.75
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%=94.875/118.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 118.75 is what percent of 94.875

100%/x%=94.875/118.75
(100/x)*x=(94.875/118.75)*x       - we multiply both sides of the equation by x
100=0.79894736842105*x       - we divide both sides of the equation by (0.79894736842105) to get x
100/0.79894736842105=x
125.16469038208=x
x=125.16469038208

now we have:
118.75 is 125.16469038208% of 94.875