33.333 is what percent of 6 - 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 6 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 6, so we can write it down as 100%=6.
4. We know, that x% equals 33.333 of the output value, so we can write it down as x%=33.333.
5. Now we have two simple equations:
1) 100%=6
2) x%=33.333
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%=6/33.333
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 33.333 is what percent of 6

100%/x%=6/33.333
(100/x)*x=(6/33.333)*x       - we multiply both sides of the equation by x
100=0.180001800018*x       - we divide both sides of the equation by (0.180001800018) to get x
100/0.180001800018=x
555.55=x
x=555.55

now we have:
33.333 is 555.55% of 6