42.6 is what percent of 395.04 - 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 395.04 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 395.04, so we can write it down as 100%=395.04.
4. We know, that x% equals 42.6 of the output value, so we can write it down as x%=42.6.
5. Now we have two simple equations:
1) 100%=395.04
2) x%=42.6
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%=395.04/42.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.6 is what percent of 395.04

100%/x%=395.04/42.6
(100/x)*x=(395.04/42.6)*x       - we multiply both sides of the equation by x
100=9.2732394366197*x       - we divide both sides of the equation by (9.2732394366197) to get x
100/9.2732394366197=x
10.783718104496=x
x=10.783718104496

now we have:
42.6 is 10.783718104496% of 395.04