6 is what percent of 6646 - 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 6646 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 6646, so we can write it down as 100%=6646.
4. We know, that x% equals 6 of the output value, so we can write it down as x%=6.
5. Now we have two simple equations:
1) 100%=6646
2) x%=6
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%=6646/6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6 is what percent of 6646

100%/x%=6646/6
(100/x)*x=(6646/6)*x       - we multiply both sides of the equation by x
100=1107.6666666667*x       - we divide both sides of the equation by (1107.6666666667) to get x
100/1107.6666666667=x
0.090279867589528=x
x=0.090279867589528

now we have:
6 is 0.090279867589528% of 6646