6 is what percent of 213000 - 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 213000 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 213000, so we can write it down as 100%=213000.
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%=213000
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%=213000/6
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 213000

100%/x%=213000/6
(100/x)*x=(213000/6)*x       - we multiply both sides of the equation by x
100=35500*x       - we divide both sides of the equation by (35500) to get x
100/35500=x
0.0028169014084507=x
x=0.0028169014084507

now we have:
6 is 0.0028169014084507% of 213000