112.85 is what percent of 92.5 - 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 92.5 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 92.5, so we can write it down as 100%=92.5.
4. We know, that x% equals 112.85 of the output value, so we can write it down as x%=112.85.
5. Now we have two simple equations:
1) 100%=92.5
2) x%=112.85
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%=92.5/112.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 112.85 is what percent of 92.5

100%/x%=92.5/112.85
(100/x)*x=(92.5/112.85)*x       - we multiply both sides of the equation by x
100=0.81967213114754*x       - we divide both sides of the equation by (0.81967213114754) to get x
100/0.81967213114754=x
122=x
x=122

now we have:
112.85 is 122% of 92.5