363.13 is what percent of 392 - 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 392 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 392, so we can write it down as 100%=392.
4. We know, that x% equals 363.13 of the output value, so we can write it down as x%=363.13.
5. Now we have two simple equations:
1) 100%=392
2) x%=363.13
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%=392/363.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 363.13 is what percent of 392

100%/x%=392/363.13
(100/x)*x=(392/363.13)*x       - we multiply both sides of the equation by x
100=1.0795032082174*x       - we divide both sides of the equation by (1.0795032082174) to get x
100/1.0795032082174=x
92.635204081633=x
x=92.635204081633

now we have:
363.13 is 92.635204081633% of 392