94.56 is what percent of 102.08 - 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 102.08 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 102.08, so we can write it down as 100%=102.08.
4. We know, that x% equals 94.56 of the output value, so we can write it down as x%=94.56.
5. Now we have two simple equations:
1) 100%=102.08
2) x%=94.56
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%=102.08/94.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 94.56 is what percent of 102.08

100%/x%=102.08/94.56
(100/x)*x=(102.08/94.56)*x       - we multiply both sides of the equation by x
100=1.0795262267343*x       - we divide both sides of the equation by (1.0795262267343) to get x
100/1.0795262267343=x
92.633228840125=x
x=92.633228840125

now we have:
94.56 is 92.633228840125% of 102.08