6 is what percent of 0.333 - 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 0.333 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 0.333, so we can write it down as 100%=0.333.
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%=0.333
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%=0.333/6
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 0.333

100%/x%=0.333/6
(100/x)*x=(0.333/6)*x       - we multiply both sides of the equation by x
100=0.0555*x       - we divide both sides of the equation by (0.0555) to get x
100/0.0555=x
1801.8018018018=x
x=1801.8018018018

now we have:
6 is 1801.8018018018% of 0.333