12704.24 is what percent of 38042.81 - 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 38042.81 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 38042.81, so we can write it down as 100%=38042.81.
4. We know, that x% equals 12704.24 of the output value, so we can write it down as x%=12704.24.
5. Now we have two simple equations:
1) 100%=38042.81
2) x%=12704.24
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%=38042.81/12704.24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 12704.24 is what percent of 38042.81

100%/x%=38042.81/12704.24
(100/x)*x=(38042.81/12704.24)*x       - we multiply both sides of the equation by x
100=2.9944971127749*x       - we divide both sides of the equation by (2.9944971127749) to get x
100/2.9944971127749=x
33.394588885521=x
x=33.394588885521

now we have:
12704.24 is 33.394588885521% of 38042.81