6 is what percent of 3800 - 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 3800 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 3800, so we can write it down as 100%=3800.
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%=3800
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%=3800/6
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 3800

100%/x%=3800/6
(100/x)*x=(3800/6)*x       - we multiply both sides of the equation by x
100=633.33333333333*x       - we divide both sides of the equation by (633.33333333333) to get x
100/633.33333333333=x
0.15789473684211=x
x=0.15789473684211

now we have:
6 is 0.15789473684211% of 3800