113.6 is what percent of 257.34 - 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 257.34 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 257.34, so we can write it down as 100%=257.34.
4. We know, that x% equals 113.6 of the output value, so we can write it down as x%=113.6.
5. Now we have two simple equations:
1) 100%=257.34
2) x%=113.6
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%=257.34/113.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 113.6 is what percent of 257.34

100%/x%=257.34/113.6
(100/x)*x=(257.34/113.6)*x       - we multiply both sides of the equation by x
100=2.2653169014085*x       - we divide both sides of the equation by (2.2653169014085) to get x
100/2.2653169014085=x
44.143934094972=x
x=44.143934094972

now we have:
113.6 is 44.143934094972% of 257.34