39.25 is what percent of 40.5 - 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 40.5 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 40.5, so we can write it down as 100%=40.5.
4. We know, that x% equals 39.25 of the output value, so we can write it down as x%=39.25.
5. Now we have two simple equations:
1) 100%=40.5
2) x%=39.25
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%=40.5/39.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.25 is what percent of 40.5

100%/x%=40.5/39.25
(100/x)*x=(40.5/39.25)*x       - we multiply both sides of the equation by x
100=1.031847133758*x       - we divide both sides of the equation by (1.031847133758) to get x
100/1.031847133758=x
96.913580246914=x
x=96.913580246914

now we have:
39.25 is 96.913580246914% of 40.5