9.92 is what percent of 129.63 - 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 129.63 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 129.63, so we can write it down as 100%=129.63.
4. We know, that x% equals 9.92 of the output value, so we can write it down as x%=9.92.
5. Now we have two simple equations:
1) 100%=129.63
2) x%=9.92
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%=129.63/9.92
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.92 is what percent of 129.63

100%/x%=129.63/9.92
(100/x)*x=(129.63/9.92)*x       - we multiply both sides of the equation by x
100=13.067540322581*x       - we divide both sides of the equation by (13.067540322581) to get x
100/13.067540322581=x
7.6525495641441=x
x=7.6525495641441

now we have:
9.92 is 7.6525495641441% of 129.63