9885.5 is what percent of 11000 - 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 11000 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 11000, so we can write it down as 100%=11000.
4. We know, that x% equals 9885.5 of the output value, so we can write it down as x%=9885.5.
5. Now we have two simple equations:
1) 100%=11000
2) x%=9885.5
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%=11000/9885.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9885.5 is what percent of 11000

100%/x%=11000/9885.5
(100/x)*x=(11000/9885.5)*x       - we multiply both sides of the equation by x
100=1.1127408831116*x       - we divide both sides of the equation by (1.1127408831116) to get x
100/1.1127408831116=x
89.868181818182=x
x=89.868181818182

now we have:
9885.5 is 89.868181818182% of 11000