6 is what percent of 9768 - 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 9768 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 9768, so we can write it down as 100%=9768.
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%=9768
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%=9768/6
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 9768

100%/x%=9768/6
(100/x)*x=(9768/6)*x       - we multiply both sides of the equation by x
100=1628*x       - we divide both sides of the equation by (1628) to get x
100/1628=x
0.061425061425061=x
x=0.061425061425061

now we have:
6 is 0.061425061425061% of 9768