8.13 is what percent of 40 - 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 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, so we can write it down as 100%=40.
4. We know, that x% equals 8.13 of the output value, so we can write it down as x%=8.13.
5. Now we have two simple equations:
1) 100%=40
2) x%=8.13
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%=40/8.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.13 is what percent of 40

100%/x%=40/8.13
(100/x)*x=(40/8.13)*x       - we multiply both sides of the equation by x
100=4.920049200492*x       - we divide both sides of the equation by (4.920049200492) to get x
100/4.920049200492=x
20.325=x
x=20.325

now we have:
8.13 is 20.325% of 40