6 is what percent of 2828 - 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 2828 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 2828, so we can write it down as 100%=2828.
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%=2828
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%=2828/6
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 2828

100%/x%=2828/6
(100/x)*x=(2828/6)*x       - we multiply both sides of the equation by x
100=471.33333333333*x       - we divide both sides of the equation by (471.33333333333) to get x
100/471.33333333333=x
0.21216407355021=x
x=0.21216407355021

now we have:
6 is 0.21216407355021% of 2828