6 is what percent of 5855 - 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 5855 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 5855, so we can write it down as 100%=5855.
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%=5855
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%=5855/6
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 5855

100%/x%=5855/6
(100/x)*x=(5855/6)*x       - we multiply both sides of the equation by x
100=975.83333333333*x       - we divide both sides of the equation by (975.83333333333) to get x
100/975.83333333333=x
0.10247651579846=x
x=0.10247651579846

now we have:
6 is 0.10247651579846% of 5855