126.49 is what percent of 335.26 - 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 335.26 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 335.26, so we can write it down as 100%=335.26.
4. We know, that x% equals 126.49 of the output value, so we can write it down as x%=126.49.
5. Now we have two simple equations:
1) 100%=335.26
2) x%=126.49
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%=335.26/126.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 126.49 is what percent of 335.26

100%/x%=335.26/126.49
(100/x)*x=(335.26/126.49)*x       - we multiply both sides of the equation by x
100=2.650486204443*x       - we divide both sides of the equation by (2.650486204443) to get x
100/2.650486204443=x
37.728926803078=x
x=37.728926803078

now we have:
126.49 is 37.728926803078% of 335.26