7906.48 is what percent of 38845.95 - 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 38845.95 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 38845.95, so we can write it down as 100%=38845.95.
4. We know, that x% equals 7906.48 of the output value, so we can write it down as x%=7906.48.
5. Now we have two simple equations:
1) 100%=38845.95
2) x%=7906.48
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%=38845.95/7906.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7906.48 is what percent of 38845.95

100%/x%=38845.95/7906.48
(100/x)*x=(38845.95/7906.48)*x       - we multiply both sides of the equation by x
100=4.9131788102923*x       - we divide both sides of the equation by (4.9131788102923) to get x
100/4.9131788102923=x
20.353421656569=x
x=20.353421656569

now we have:
7906.48 is 20.353421656569% of 38845.95