38.69 is what percent of 40.25 - 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 40.25 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 40.25, so we can write it down as 100%=40.25.
4. We know, that x% equals 38.69 of the output value, so we can write it down as x%=38.69.
5. Now we have two simple equations:
1) 100%=40.25
2) x%=38.69
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%=40.25/38.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.69 is what percent of 40.25

100%/x%=40.25/38.69
(100/x)*x=(40.25/38.69)*x       - we multiply both sides of the equation by x
100=1.0403204962523*x       - we divide both sides of the equation by (1.0403204962523) to get x
100/1.0403204962523=x
96.124223602484=x
x=96.124223602484

now we have:
38.69 is 96.124223602484% of 40.25