99 is what percent of 909 - 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 909 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 909, so we can write it down as 100%=909.
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%=909
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%=909/99
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 909

100%/x%=909/99
(100/x)*x=(909/99)*x       - we multiply both sides of the equation by x
100=9.1818181818182*x       - we divide both sides of the equation by (9.1818181818182) to get x
100/9.1818181818182=x
10.891089108911=x
x=10.891089108911

now we have:
99 is 10.891089108911% of 909