8838.4 is what percent of 9899 - 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 9899 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 9899, so we can write it down as 100%=9899.
4. We know, that x% equals 8838.4 of the output value, so we can write it down as x%=8838.4.
5. Now we have two simple equations:
1) 100%=9899
2) x%=8838.4
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%=9899/8838.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8838.4 is what percent of 9899

100%/x%=9899/8838.4
(100/x)*x=(9899/8838.4)*x       - we multiply both sides of the equation by x
100=1.1199990948588*x       - we divide both sides of the equation by (1.1199990948588) to get x
100/1.1199990948588=x
89.285786443075=x
x=89.285786443075

now we have:
8838.4 is 89.285786443075% of 9899