906 is what percent of 9 - 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 9 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 9, so we can write it down as 100%=9.
4. We know, that x% equals 906 of the output value, so we can write it down as x%=906.
5. Now we have two simple equations:
1) 100%=9
2) x%=906
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%=9/906
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 906 is what percent of 9

100%/x%=9/906
(100/x)*x=(9/906)*x       - we multiply both sides of the equation by x
100=0.0099337748344371*x       - we divide both sides of the equation by (0.0099337748344371) to get x
100/0.0099337748344371=x
10066.666666667=x
x=10066.666666667

now we have:
906 is 10066.666666667% of 9