111.97 is what percent of 253.49 - 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 253.49 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 253.49, so we can write it down as 100%=253.49.
4. We know, that x% equals 111.97 of the output value, so we can write it down as x%=111.97.
5. Now we have two simple equations:
1) 100%=253.49
2) x%=111.97
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%=253.49/111.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 111.97 is what percent of 253.49

100%/x%=253.49/111.97
(100/x)*x=(253.49/111.97)*x       - we multiply both sides of the equation by x
100=2.2639099758864*x       - we divide both sides of the equation by (2.2639099758864) to get x
100/2.2639099758864=x
44.171367706813=x
x=44.171367706813

now we have:
111.97 is 44.171367706813% of 253.49