What is 93.3333333333 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 93.3333333333% of the output value, so we can write it down as x=93.3333333333%.
5. Now we have two simple equations:
1) 11=100%
2) x=93.3333333333%
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%/93.3333333333%
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 93.3333333333% of 11

11/x=100/93.3333333333
(11/x)*x=(100/93.3333333333)*x       - we multiply both sides of the equation by x
11=1.071428571429*x       - we divide both sides of the equation by (1.071428571429) to get x
11/1.071428571429=x
10.266666666663=x
x=10.266666666663

now we have:
93.3333333333% of 11=10.266666666663