111.09 is what percent of 220 - 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 220 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 220, so we can write it down as 100%=220.
4. We know, that x% equals 111.09 of the output value, so we can write it down as x%=111.09.
5. Now we have two simple equations:
1) 100%=220
2) x%=111.09
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%=220/111.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 111.09 is what percent of 220

100%/x%=220/111.09
(100/x)*x=(220/111.09)*x       - we multiply both sides of the equation by x
100=1.9803762714916*x       - we divide both sides of the equation by (1.9803762714916) to get x
100/1.9803762714916=x
50.495454545455=x
x=50.495454545455

now we have:
111.09 is 50.495454545455% of 220