11.1 is what percent of 60 - 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 60 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 60, so we can write it down as 100%=60.
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%=60
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%=60/11.1
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 60

100%/x%=60/11.1
(100/x)*x=(60/11.1)*x       - we multiply both sides of the equation by x
100=5.4054054054054*x       - we divide both sides of the equation by (5.4054054054054) to get x
100/5.4054054054054=x
18.5=x
x=18.5

now we have:
11.1 is 18.5% of 60