42.17 is what percent of 397.2 - 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 397.2 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 397.2, so we can write it down as 100%=397.2.
4. We know, that x% equals 42.17 of the output value, so we can write it down as x%=42.17.
5. Now we have two simple equations:
1) 100%=397.2
2) x%=42.17
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%=397.2/42.17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.17 is what percent of 397.2

100%/x%=397.2/42.17
(100/x)*x=(397.2/42.17)*x       - we multiply both sides of the equation by x
100=9.4190182594261*x       - we divide both sides of the equation by (9.4190182594261) to get x
100/9.4190182594261=x
10.616817724068=x
x=10.616817724068

now we have:
42.17 is 10.616817724068% of 397.2