99 is what percent of 1103 - 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 1103 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 1103, so we can write it down as 100%=1103.
4. We know, that x% equals 99 of the output value, so we can write it down as x%=99.
5. Now we have two simple equations:
1) 100%=1103
2) x%=99
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%=1103/99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 99 is what percent of 1103

100%/x%=1103/99
(100/x)*x=(1103/99)*x       - we multiply both sides of the equation by x
100=11.141414141414*x       - we divide both sides of the equation by (11.141414141414) to get x
100/11.141414141414=x
8.9755213055304=x
x=8.9755213055304

now we have:
99 is 8.9755213055304% of 1103