What is 11.111 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 11.111% of the output value, so we can write it down as x=11.111%.
5. Now we have two simple equations:
1) 11=100%
2) x=11.111%
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%/11.111%
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 11.111% of 11

11/x=100/11.111
(11/x)*x=(100/11.111)*x       - we multiply both sides of the equation by x
11=9.0000900009*x       - we divide both sides of the equation by (9.0000900009) to get x
11/9.0000900009=x
1.22221=x
x=1.22221

now we have:
11.111% of 11=1.22221