6 is what percent of 6011 - 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 6011 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 6011, so we can write it down as 100%=6011.
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%=6011
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%=6011/6
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 6011

100%/x%=6011/6
(100/x)*x=(6011/6)*x       - we multiply both sides of the equation by x
100=1001.8333333333*x       - we divide both sides of the equation by (1001.8333333333) to get x
100/1001.8333333333=x
0.099817002162702=x
x=0.099817002162702

now we have:
6 is 0.099817002162702% of 6011