38.82 is what percent of 318.12 - 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 318.12 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 318.12, so we can write it down as 100%=318.12.
4. We know, that x% equals 38.82 of the output value, so we can write it down as x%=38.82.
5. Now we have two simple equations:
1) 100%=318.12
2) x%=38.82
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%=318.12/38.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.82 is what percent of 318.12

100%/x%=318.12/38.82
(100/x)*x=(318.12/38.82)*x       - we multiply both sides of the equation by x
100=8.1947449768161*x       - we divide both sides of the equation by (8.1947449768161) to get x
100/8.1947449768161=x
12.20294228593=x
x=12.20294228593

now we have:
38.82 is 12.20294228593% of 318.12