What is 86.6 percent of 11 - 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 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 is 100%, so we can write it down as 11=100%.
4. We know, that x is 86.6% of the output value, so we can write it down as x=86.6%.
5. Now we have two simple equations:
1) 11=100%
2) x=86.6%
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/x=100%/86.6%
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 86.6% of 11

11/x=100/86.6
(11/x)*x=(100/86.6)*x       - we multiply both sides of the equation by x
11=1.1547344110855*x       - we divide both sides of the equation by (1.1547344110855) to get x
11/1.1547344110855=x
9.526=x
x=9.526

now we have:
86.6% of 11=9.526