9.06 is what percent of 72 - 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 72 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 72, so we can write it down as 100%=72.
4. We know, that x% equals 9.06 of the output value, so we can write it down as x%=9.06.
5. Now we have two simple equations:
1) 100%=72
2) x%=9.06
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%=72/9.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.06 is what percent of 72

100%/x%=72/9.06
(100/x)*x=(72/9.06)*x       - we multiply both sides of the equation by x
100=7.9470198675497*x       - we divide both sides of the equation by (7.9470198675497) to get x
100/7.9470198675497=x
12.583333333333=x
x=12.583333333333

now we have:
9.06 is 12.583333333333% of 72