6 is what percent of 2683 - 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 2683 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 2683, so we can write it down as 100%=2683.
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%=2683
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%=2683/6
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 2683

100%/x%=2683/6
(100/x)*x=(2683/6)*x       - we multiply both sides of the equation by x
100=447.16666666667*x       - we divide both sides of the equation by (447.16666666667) to get x
100/447.16666666667=x
0.22363026462915=x
x=0.22363026462915

now we have:
6 is 0.22363026462915% of 2683