9608.25 is what percent of 10424 - 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 10424 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 10424, so we can write it down as 100%=10424.
4. We know, that x% equals 9608.25 of the output value, so we can write it down as x%=9608.25.
5. Now we have two simple equations:
1) 100%=10424
2) x%=9608.25
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%=10424/9608.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9608.25 is what percent of 10424

100%/x%=10424/9608.25
(100/x)*x=(10424/9608.25)*x       - we multiply both sides of the equation by x
100=1.0849009965394*x       - we divide both sides of the equation by (1.0849009965394) to get x
100/1.0849009965394=x
92.174309286262=x
x=92.174309286262

now we have:
9608.25 is 92.174309286262% of 10424