9.85 is what percent of 13.16 - 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 13.16 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 13.16, so we can write it down as 100%=13.16.
4. We know, that x% equals 9.85 of the output value, so we can write it down as x%=9.85.
5. Now we have two simple equations:
1) 100%=13.16
2) x%=9.85
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%=13.16/9.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.85 is what percent of 13.16

100%/x%=13.16/9.85
(100/x)*x=(13.16/9.85)*x       - we multiply both sides of the equation by x
100=1.3360406091371*x       - we divide both sides of the equation by (1.3360406091371) to get x
100/1.3360406091371=x
74.848024316109=x
x=74.848024316109

now we have:
9.85 is 74.848024316109% of 13.16