9.24 is what percent of 106.47 - 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 106.47 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 106.47, so we can write it down as 100%=106.47.
4. We know, that x% equals 9.24 of the output value, so we can write it down as x%=9.24.
5. Now we have two simple equations:
1) 100%=106.47
2) x%=9.24
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%=106.47/9.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.24 is what percent of 106.47

100%/x%=106.47/9.24
(100/x)*x=(106.47/9.24)*x       - we multiply both sides of the equation by x
100=11.522727272727*x       - we divide both sides of the equation by (11.522727272727) to get x
100/11.522727272727=x
8.6785009861933=x
x=8.6785009861933

now we have:
9.24 is 8.6785009861933% of 106.47