What is 41.58 percent of 37.375744 - 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 37.375744 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 37.375744 is 100%, so we can write it down as 37.375744=100%.
4. We know, that x is 41.58% of the output value, so we can write it down as x=41.58%.
5. Now we have two simple equations:
1) 37.375744=100%
2) x=41.58%
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:
37.375744/x=100%/41.58%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 41.58% of 37.375744

37.375744/x=100/41.58
(37.375744/x)*x=(100/41.58)*x       - we multiply both sides of the equation by x
37.375744=2.4050024050024*x       - we divide both sides of the equation by (2.4050024050024) to get x
37.375744/2.4050024050024=x
15.5408343552=x
x=15.5408343552

now we have:
41.58% of 37.375744=15.5408343552