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

7. Solution for 13.16 is what percent of 9.85

100%/x%=9.85/13.16
(100/x)*x=(9.85/13.16)*x       - we multiply both sides of the equation by x
100=0.74848024316109*x       - we divide both sides of the equation by (0.74848024316109) to get x
100/0.74848024316109=x
133.60406091371=x
x=133.60406091371

now we have:
13.16 is 133.60406091371% of 9.85