38.52 is what percent of 641.92 - 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 641.92 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 641.92, so we can write it down as 100%=641.92.
4. We know, that x% equals 38.52 of the output value, so we can write it down as x%=38.52.
5. Now we have two simple equations:
1) 100%=641.92
2) x%=38.52
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%=641.92/38.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.52 is what percent of 641.92

100%/x%=641.92/38.52
(100/x)*x=(641.92/38.52)*x       - we multiply both sides of the equation by x
100=16.664589823468*x       - we divide both sides of the equation by (16.664589823468) to get x
100/16.664589823468=x
6.0007477567298=x
x=6.0007477567298

now we have:
38.52 is 6.0007477567298% of 641.92