What is 96.82 percent of 11.33 - 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 11.33 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 11.33 is 100%, so we can write it down as 11.33=100%.
4. We know, that x is 96.82% of the output value, so we can write it down as x=96.82%.
5. Now we have two simple equations:
1) 11.33=100%
2) x=96.82%
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:
11.33/x=100%/96.82%
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 96.82% of 11.33

11.33/x=100/96.82
(11.33/x)*x=(100/96.82)*x       - we multiply both sides of the equation by x
11.33=1.0328444536253*x       - we divide both sides of the equation by (1.0328444536253) to get x
11.33/1.0328444536253=x
10.969706=x
x=10.969706

now we have:
96.82% of 11.33=10.969706