111.2 is what percent of 264 - 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 264 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 264, so we can write it down as 100%=264.
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%=264
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%=264/111.2
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 264

100%/x%=264/111.2
(100/x)*x=(264/111.2)*x       - we multiply both sides of the equation by x
100=2.3741007194245*x       - we divide both sides of the equation by (2.3741007194245) to get x
100/2.3741007194245=x
42.121212121212=x
x=42.121212121212

now we have:
111.2 is 42.121212121212% of 264