6.06 is what percent of 30.08 - 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 30.08 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 30.08, so we can write it down as 100%=30.08.
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%=30.08
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%=30.08/6.06
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 30.08

100%/x%=30.08/6.06
(100/x)*x=(30.08/6.06)*x       - we multiply both sides of the equation by x
100=4.963696369637*x       - we divide both sides of the equation by (4.963696369637) to get x
100/4.963696369637=x
20.146276595745=x
x=20.146276595745

now we have:
6.06 is 20.146276595745% of 30.08