111.2 is what percent of 352 - 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 352 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 352, so we can write it down as 100%=352.
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%=352
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%=352/111.2
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 352

100%/x%=352/111.2
(100/x)*x=(352/111.2)*x       - we multiply both sides of the equation by x
100=3.1654676258993*x       - we divide both sides of the equation by (3.1654676258993) to get x
100/3.1654676258993=x
31.590909090909=x
x=31.590909090909

now we have:
111.2 is 31.590909090909% of 352