9916.8 is what percent of 98899.4 - 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 98899.4 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 98899.4, so we can write it down as 100%=98899.4.
4. We know, that x% equals 9916.8 of the output value, so we can write it down as x%=9916.8.
5. Now we have two simple equations:
1) 100%=98899.4
2) x%=9916.8
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%=98899.4/9916.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9916.8 is what percent of 98899.4

100%/x%=98899.4/9916.8
(100/x)*x=(98899.4/9916.8)*x       - we multiply both sides of the equation by x
100=9.9729146498871*x       - we divide both sides of the equation by (9.9729146498871) to get x
100/9.9729146498871=x
10.027158910974=x
x=10.027158910974

now we have:
9916.8 is 10.027158910974% of 98899.4