94.57 is what percent of 120.8 - 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 120.8 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 120.8, so we can write it down as 100%=120.8.
4. We know, that x% equals 94.57 of the output value, so we can write it down as x%=94.57.
5. Now we have two simple equations:
1) 100%=120.8
2) x%=94.57
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%=120.8/94.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 94.57 is what percent of 120.8

100%/x%=120.8/94.57
(100/x)*x=(120.8/94.57)*x       - we multiply both sides of the equation by x
100=1.2773606852067*x       - we divide both sides of the equation by (1.2773606852067) to get x
100/1.2773606852067=x
78.28642384106=x
x=78.28642384106

now we have:
94.57 is 78.28642384106% of 120.8