6 is what percent of 16824 - 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 16824 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 16824, so we can write it down as 100%=16824.
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%=16824
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%=16824/6
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 16824

100%/x%=16824/6
(100/x)*x=(16824/6)*x       - we multiply both sides of the equation by x
100=2804*x       - we divide both sides of the equation by (2804) to get x
100/2804=x
0.035663338088445=x
x=0.035663338088445

now we have:
6 is 0.035663338088445% of 16824