6 is what percent of 9072 - 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 9072 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 9072, so we can write it down as 100%=9072.
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%=9072
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%=9072/6
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 9072

100%/x%=9072/6
(100/x)*x=(9072/6)*x       - we multiply both sides of the equation by x
100=1512*x       - we divide both sides of the equation by (1512) to get x
100/1512=x
0.066137566137566=x
x=0.066137566137566

now we have:
6 is 0.066137566137566% of 9072