6 is what percent of 218491 - 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 218491 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 218491, so we can write it down as 100%=218491.
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%=218491
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%=218491/6
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 218491

100%/x%=218491/6
(100/x)*x=(218491/6)*x       - we multiply both sides of the equation by x
100=36415.166666667*x       - we divide both sides of the equation by (36415.166666667) to get x
100/36415.166666667=x
0.002746108535363=x
x=0.002746108535363

now we have:
6 is 0.002746108535363% of 218491