42.41 is what percent of 108 - 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 108 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 108, so we can write it down as 100%=108.
4. We know, that x% equals 42.41 of the output value, so we can write it down as x%=42.41.
5. Now we have two simple equations:
1) 100%=108
2) x%=42.41
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%=108/42.41
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.41 is what percent of 108

100%/x%=108/42.41
(100/x)*x=(108/42.41)*x       - we multiply both sides of the equation by x
100=2.5465692053761*x       - we divide both sides of the equation by (2.5465692053761) to get x
100/2.5465692053761=x
39.268518518519=x
x=39.268518518519

now we have:
42.41 is 39.268518518519% of 108