What is 111.11111111 percent of 27 - 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 27 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 27 is 100%, so we can write it down as 27=100%.
4. We know, that x is 111.11111111% of the output value, so we can write it down as x=111.11111111%.
5. Now we have two simple equations:
1) 27=100%
2) x=111.11111111%
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:
27/x=100%/111.11111111%
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 111.11111111% of 27

27/x=100/111.11111111
(27/x)*x=(100/111.11111111)*x       - we multiply both sides of the equation by x
27=0.900000000009*x       - we divide both sides of the equation by (0.900000000009) to get x
27/0.900000000009=x
29.9999999997=x
x=29.9999999997

now we have:
111.11111111% of 27=29.9999999997