9 is what percent of 11669 - 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 11669 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 11669, so we can write it down as 100%=11669.
4. We know, that x% equals 9 of the output value, so we can write it down as x%=9.
5. Now we have two simple equations:
1) 100%=11669
2) x%=9
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%=11669/9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9 is what percent of 11669

100%/x%=11669/9
(100/x)*x=(11669/9)*x       - we multiply both sides of the equation by x
100=1296.5555555556*x       - we divide both sides of the equation by (1296.5555555556) to get x
100/1296.5555555556=x
0.077127431656526=x
x=0.077127431656526

now we have:
9 is 0.077127431656526% of 11669