9.38 is what percent of 39.38 - 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 39.38 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 39.38, so we can write it down as 100%=39.38.
4. We know, that x% equals 9.38 of the output value, so we can write it down as x%=9.38.
5. Now we have two simple equations:
1) 100%=39.38
2) x%=9.38
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%=39.38/9.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.38 is what percent of 39.38

100%/x%=39.38/9.38
(100/x)*x=(39.38/9.38)*x       - we multiply both sides of the equation by x
100=4.1982942430704*x       - we divide both sides of the equation by (4.1982942430704) to get x
100/4.1982942430704=x
23.819197562214=x
x=23.819197562214

now we have:
9.38 is 23.819197562214% of 39.38