304.77 is what percent of 788 - 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 788 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 788, so we can write it down as 100%=788.
4. We know, that x% equals 304.77 of the output value, so we can write it down as x%=304.77.
5. Now we have two simple equations:
1) 100%=788
2) x%=304.77
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%=788/304.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 304.77 is what percent of 788

100%/x%=788/304.77
(100/x)*x=(788/304.77)*x       - we multiply both sides of the equation by x
100=2.5855563211602*x       - we divide both sides of the equation by (2.5855563211602) to get x
100/2.5855563211602=x
38.676395939086=x
x=38.676395939086

now we have:
304.77 is 38.676395939086% of 788