10.85 is what percent of 11.09 - 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 11.09 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 11.09, so we can write it down as 100%=11.09.
4. We know, that x% equals 10.85 of the output value, so we can write it down as x%=10.85.
5. Now we have two simple equations:
1) 100%=11.09
2) x%=10.85
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%=11.09/10.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.85 is what percent of 11.09

100%/x%=11.09/10.85
(100/x)*x=(11.09/10.85)*x       - we multiply both sides of the equation by x
100=1.0221198156682*x       - we divide both sides of the equation by (1.0221198156682) to get x
100/1.0221198156682=x
97.835888187556=x
x=97.835888187556

now we have:
10.85 is 97.835888187556% of 11.09