6 is what percent of 33.25 - 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 33.25 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 33.25, so we can write it down as 100%=33.25.
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%=33.25
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%=33.25/6
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 33.25

100%/x%=33.25/6
(100/x)*x=(33.25/6)*x       - we multiply both sides of the equation by x
100=5.5416666666667*x       - we divide both sides of the equation by (5.5416666666667) to get x
100/5.5416666666667=x
18.045112781955=x
x=18.045112781955

now we have:
6 is 18.045112781955% of 33.25