9.12 is what percent of 66.8 - 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 66.8 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 66.8, so we can write it down as 100%=66.8.
4. We know, that x% equals 9.12 of the output value, so we can write it down as x%=9.12.
5. Now we have two simple equations:
1) 100%=66.8
2) x%=9.12
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%=66.8/9.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.12 is what percent of 66.8

100%/x%=66.8/9.12
(100/x)*x=(66.8/9.12)*x       - we multiply both sides of the equation by x
100=7.3245614035088*x       - we divide both sides of the equation by (7.3245614035088) to get x
100/7.3245614035088=x
13.652694610778=x
x=13.652694610778

now we have:
9.12 is 13.652694610778% of 66.8