111.2 is what percent of 255 - 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 255 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 255, so we can write it down as 100%=255.
4. We know, that x% equals 111.2 of the output value, so we can write it down as x%=111.2.
5. Now we have two simple equations:
1) 100%=255
2) x%=111.2
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%=255/111.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 111.2 is what percent of 255

100%/x%=255/111.2
(100/x)*x=(255/111.2)*x       - we multiply both sides of the equation by x
100=2.2931654676259*x       - we divide both sides of the equation by (2.2931654676259) to get x
100/2.2931654676259=x
43.607843137255=x
x=43.607843137255

now we have:
111.2 is 43.607843137255% of 255