39.4 is what percent of 417.8 - 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 417.8 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 417.8, so we can write it down as 100%=417.8.
4. We know, that x% equals 39.4 of the output value, so we can write it down as x%=39.4.
5. Now we have two simple equations:
1) 100%=417.8
2) x%=39.4
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%=417.8/39.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.4 is what percent of 417.8

100%/x%=417.8/39.4
(100/x)*x=(417.8/39.4)*x       - we multiply both sides of the equation by x
100=10.604060913706*x       - we divide both sides of the equation by (10.604060913706) to get x
100/10.604060913706=x
9.4303494494974=x
x=9.4303494494974

now we have:
39.4 is 9.4303494494974% of 417.8