39.84 is what percent of 15788.44 - 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 15788.44 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 15788.44, so we can write it down as 100%=15788.44.
4. We know, that x% equals 39.84 of the output value, so we can write it down as x%=39.84.
5. Now we have two simple equations:
1) 100%=15788.44
2) x%=39.84
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%=15788.44/39.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.84 is what percent of 15788.44

100%/x%=15788.44/39.84
(100/x)*x=(15788.44/39.84)*x       - we multiply both sides of the equation by x
100=396.29618473896*x       - we divide both sides of the equation by (396.29618473896) to get x
100/396.29618473896=x
0.25233651963082=x
x=0.25233651963082

now we have:
39.84 is 0.25233651963082% of 15788.44