6.06 is what percent of 30.33 - 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 30.33 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 30.33, so we can write it down as 100%=30.33.
4. We know, that x% equals 6.06 of the output value, so we can write it down as x%=6.06.
5. Now we have two simple equations:
1) 100%=30.33
2) x%=6.06
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%=30.33/6.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.06 is what percent of 30.33

100%/x%=30.33/6.06
(100/x)*x=(30.33/6.06)*x       - we multiply both sides of the equation by x
100=5.0049504950495*x       - we divide both sides of the equation by (5.0049504950495) to get x
100/5.0049504950495=x
19.98021760633=x
x=19.98021760633

now we have:
6.06 is 19.98021760633% of 30.33