111.27 is what percent of 250 - 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 250 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 250, so we can write it down as 100%=250.
4. We know, that x% equals 111.27 of the output value, so we can write it down as x%=111.27.
5. Now we have two simple equations:
1) 100%=250
2) x%=111.27
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%=250/111.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 111.27 is what percent of 250

100%/x%=250/111.27
(100/x)*x=(250/111.27)*x       - we multiply both sides of the equation by x
100=2.2467870944549*x       - we divide both sides of the equation by (2.2467870944549) to get x
100/2.2467870944549=x
44.508=x
x=44.508

now we have:
111.27 is 44.508% of 250