4 is what percent of 6006 - 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 6006 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 6006, so we can write it down as 100%=6006.
4. We know, that x% equals 4 of the output value, so we can write it down as x%=4.
5. Now we have two simple equations:
1) 100%=6006
2) x%=4
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%=6006/4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4 is what percent of 6006

100%/x%=6006/4
(100/x)*x=(6006/4)*x       - we multiply both sides of the equation by x
100=1501.5*x       - we divide both sides of the equation by (1501.5) to get x
100/1501.5=x
0.066600066600067=x
x=0.066600066600067

now we have:
4 is 0.066600066600067% of 6006