11.11 is what 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 100% equals 180, so we can write it down as 100%=180.
4. We know, that x% equals 11.11 of the output value, so we can write it down as x%=11.11.
5. Now we have two simple equations:
1) 100%=180
2) x%=11.11
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:
100%/x%=180/11.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.11 is what percent of 180

100%/x%=180/11.11
(100/x)*x=(180/11.11)*x       - we multiply both sides of the equation by x
100=16.201620162016*x       - we divide both sides of the equation by (16.201620162016) to get x
100/16.201620162016=x
6.1722222222222=x
x=6.1722222222222

now we have:
11.11 is 6.1722222222222% of 180