12434.08 is what percent of 31875.37 - 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 31875.37 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 31875.37, so we can write it down as 100%=31875.37.
4. We know, that x% equals 12434.08 of the output value, so we can write it down as x%=12434.08.
5. Now we have two simple equations:
1) 100%=31875.37
2) x%=12434.08
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%=31875.37/12434.08
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12434.08 is what percent of 31875.37

100%/x%=31875.37/12434.08
(100/x)*x=(31875.37/12434.08)*x       - we multiply both sides of the equation by x
100=2.5635487305856*x       - we divide both sides of the equation by (2.5635487305856) to get x
100/2.5635487305856=x
39.008425627687=x
x=39.008425627687

now we have:
12434.08 is 39.008425627687% of 31875.37