126.07 is what percent of 380.25 - 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 380.25 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 380.25, so we can write it down as 100%=380.25.
4. We know, that x% equals 126.07 of the output value, so we can write it down as x%=126.07.
5. Now we have two simple equations:
1) 100%=380.25
2) x%=126.07
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%=380.25/126.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 126.07 is what percent of 380.25

100%/x%=380.25/126.07
(100/x)*x=(380.25/126.07)*x       - we multiply both sides of the equation by x
100=3.0161814864758*x       - we divide both sides of the equation by (3.0161814864758) to get x
100/3.0161814864758=x
33.154503616042=x
x=33.154503616042

now we have:
126.07 is 33.154503616042% of 380.25