104.25 is what percent of 108.5 - 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 108.5 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 108.5, so we can write it down as 100%=108.5.
4. We know, that x% equals 104.25 of the output value, so we can write it down as x%=104.25.
5. Now we have two simple equations:
1) 100%=108.5
2) x%=104.25
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%=108.5/104.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 104.25 is what percent of 108.5

100%/x%=108.5/104.25
(100/x)*x=(108.5/104.25)*x       - we multiply both sides of the equation by x
100=1.0407673860911*x       - we divide both sides of the equation by (1.0407673860911) to get x
100/1.0407673860911=x
96.082949308756=x
x=96.082949308756

now we have:
104.25 is 96.082949308756% of 108.5