9642.25 is what percent of 9910.09 - 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 9910.09 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 9910.09, so we can write it down as 100%=9910.09.
4. We know, that x% equals 9642.25 of the output value, so we can write it down as x%=9642.25.
5. Now we have two simple equations:
1) 100%=9910.09
2) x%=9642.25
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%=9910.09/9642.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9642.25 is what percent of 9910.09

100%/x%=9910.09/9642.25
(100/x)*x=(9910.09/9642.25)*x       - we multiply both sides of the equation by x
100=1.0277777489694*x       - we divide both sides of the equation by (1.0277777489694) to get x
100/1.0277777489694=x
97.29730002452=x
x=97.29730002452

now we have:
9642.25 is 97.29730002452% of 9910.09