126.26 is what percent of 319.63 - 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 319.63 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 319.63, so we can write it down as 100%=319.63.
4. We know, that x% equals 126.26 of the output value, so we can write it down as x%=126.26.
5. Now we have two simple equations:
1) 100%=319.63
2) x%=126.26
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%=319.63/126.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 126.26 is what percent of 319.63

100%/x%=319.63/126.26
(100/x)*x=(319.63/126.26)*x       - we multiply both sides of the equation by x
100=2.5315222556629*x       - we divide both sides of the equation by (2.5315222556629) to get x
100/2.5315222556629=x
39.50192409974=x
x=39.50192409974

now we have:
126.26 is 39.50192409974% of 319.63