9.65 is what percent of 708.95 - 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 708.95 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 708.95, so we can write it down as 100%=708.95.
4. We know, that x% equals 9.65 of the output value, so we can write it down as x%=9.65.
5. Now we have two simple equations:
1) 100%=708.95
2) x%=9.65
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%=708.95/9.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.65 is what percent of 708.95

100%/x%=708.95/9.65
(100/x)*x=(708.95/9.65)*x       - we multiply both sides of the equation by x
100=73.466321243523*x       - we divide both sides of the equation by (73.466321243523) to get x
100/73.466321243523=x
1.3611679243952=x
x=1.3611679243952

now we have:
9.65 is 1.3611679243952% of 708.95