9.85 is what percent of 9.72 - 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 9.72 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 9.72, so we can write it down as 100%=9.72.
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%=9.72
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%=9.72/9.85
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 9.72

100%/x%=9.72/9.85
(100/x)*x=(9.72/9.85)*x       - we multiply both sides of the equation by x
100=0.98680203045685*x       - we divide both sides of the equation by (0.98680203045685) to get x
100/0.98680203045685=x
101.33744855967=x
x=101.33744855967

now we have:
9.85 is 101.33744855967% of 9.72