6 is what percent of 1687 - 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 1687 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 1687, so we can write it down as 100%=1687.
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%=1687
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%=1687/6
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 1687

100%/x%=1687/6
(100/x)*x=(1687/6)*x       - we multiply both sides of the equation by x
100=281.16666666667*x       - we divide both sides of the equation by (281.16666666667) to get x
100/281.16666666667=x
0.3556609365738=x
x=0.3556609365738

now we have:
6 is 0.3556609365738% of 1687