What is 11.11111111 percent of 180 - 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 180 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 180 is 100%, so we can write it down as 180=100%.
4. We know, that x is 11.11111111% of the output value, so we can write it down as x=11.11111111%.
5. Now we have two simple equations:
1) 180=100%
2) x=11.11111111%
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:
180/x=100%/11.11111111%
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 11.11111111% of 180

180/x=100/11.11111111
(180/x)*x=(100/11.11111111)*x       - we multiply both sides of the equation by x
180=9.0000000009*x       - we divide both sides of the equation by (9.0000000009) to get x
180/9.0000000009=x
19.999999998=x
x=19.999999998

now we have:
11.11111111% of 180=19.999999998