11.1 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 11.1 of the output value, so we can write it down as x%=11.1.
5. Now we have two simple equations:
1) 100%=180
2) x%=11.1
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%=180/11.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.1 is what percent of 180

100%/x%=180/11.1
(100/x)*x=(180/11.1)*x       - we multiply both sides of the equation by x
100=16.216216216216*x       - we divide both sides of the equation by (16.216216216216) to get x
100/16.216216216216=x
6.1666666666667=x
x=6.1666666666667

now we have:
11.1 is 6.1666666666667% of 180