9.85 is what percent of 110.95 - 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 110.95 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 110.95, so we can write it down as 100%=110.95.
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%=110.95
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%=110.95/9.85
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 110.95

100%/x%=110.95/9.85
(100/x)*x=(110.95/9.85)*x       - we multiply both sides of the equation by x
100=11.263959390863*x       - we divide both sides of the equation by (11.263959390863) to get x
100/11.263959390863=x
8.8778729157278=x
x=8.8778729157278

now we have:
9.85 is 8.8778729157278% of 110.95