39.26 is what percent of 96 - 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 96 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 96, so we can write it down as 100%=96.
4. We know, that x% equals 39.26 of the output value, so we can write it down as x%=39.26.
5. Now we have two simple equations:
1) 100%=96
2) x%=39.26
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%=96/39.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.26 is what percent of 96

100%/x%=96/39.26
(100/x)*x=(96/39.26)*x       - we multiply both sides of the equation by x
100=2.445236882323*x       - we divide both sides of the equation by (2.445236882323) to get x
100/2.445236882323=x
40.895833333333=x
x=40.895833333333

now we have:
39.26 is 40.895833333333% of 96