What is 11.07 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 9.85 is 100%, so we can write it down as 9.85=100%.
4. We know, that x is 11.07% of the output value, so we can write it down as x=11.07%.
5. Now we have two simple equations:
1) 9.85=100%
2) x=11.07%
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:
9.85/x=100%/11.07%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 11.07% of 9.85

9.85/x=100/11.07
(9.85/x)*x=(100/11.07)*x       - we multiply both sides of the equation by x
9.85=9.03342366757*x       - we divide both sides of the equation by (9.03342366757) to get x
9.85/9.03342366757=x
1.090395=x
x=1.090395

now we have:
11.07% of 9.85=1.090395