4.2 is what percent of 39.601 - 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 39.601 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 39.601, so we can write it down as 100%=39.601.
4. We know, that x% equals 4.2 of the output value, so we can write it down as x%=4.2.
5. Now we have two simple equations:
1) 100%=39.601
2) x%=4.2
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%=39.601/4.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.2 is what percent of 39.601

100%/x%=39.601/4.2
(100/x)*x=(39.601/4.2)*x       - we multiply both sides of the equation by x
100=9.4288095238095*x       - we divide both sides of the equation by (9.4288095238095) to get x
100/9.4288095238095=x
10.605792783011=x
x=10.605792783011

now we have:
4.2 is 10.605792783011% of 39.601