29.25 is what percent of 38.08 - 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 38.08 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 38.08, so we can write it down as 100%=38.08.
4. We know, that x% equals 29.25 of the output value, so we can write it down as x%=29.25.
5. Now we have two simple equations:
1) 100%=38.08
2) x%=29.25
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%=38.08/29.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.25 is what percent of 38.08

100%/x%=38.08/29.25
(100/x)*x=(38.08/29.25)*x       - we multiply both sides of the equation by x
100=1.3018803418803*x       - we divide both sides of the equation by (1.3018803418803) to get x
100/1.3018803418803=x
76.811974789916=x
x=76.811974789916

now we have:
29.25 is 76.811974789916% of 38.08