65.33 is what percent of 788.75 - 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 788.75 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 788.75, so we can write it down as 100%=788.75.
4. We know, that x% equals 65.33 of the output value, so we can write it down as x%=65.33.
5. Now we have two simple equations:
1) 100%=788.75
2) x%=65.33
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%=788.75/65.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.33 is what percent of 788.75

100%/x%=788.75/65.33
(100/x)*x=(788.75/65.33)*x       - we multiply both sides of the equation by x
100=12.07332006735*x       - we divide both sides of the equation by (12.07332006735) to get x
100/12.07332006735=x
8.2827258320127=x
x=8.2827258320127

now we have:
65.33 is 8.2827258320127% of 788.75