39.4 is what percent of 49.9 - 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 49.9 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 49.9, so we can write it down as 100%=49.9.
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%=49.9
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%=49.9/39.4
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 49.9

100%/x%=49.9/39.4
(100/x)*x=(49.9/39.4)*x       - we multiply both sides of the equation by x
100=1.2664974619289*x       - we divide both sides of the equation by (1.2664974619289) to get x
100/1.2664974619289=x
78.957915831663=x
x=78.957915831663

now we have:
39.4 is 78.957915831663% of 49.9