20 is what percent of 30.605 - 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 30.605 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 30.605, so we can write it down as 100%=30.605.
4. We know, that x% equals 20 of the output value, so we can write it down as x%=20.
5. Now we have two simple equations:
1) 100%=30.605
2) x%=20
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%=30.605/20
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20 is what percent of 30.605

100%/x%=30.605/20
(100/x)*x=(30.605/20)*x       - we multiply both sides of the equation by x
100=1.53025*x       - we divide both sides of the equation by (1.53025) to get x
100/1.53025=x
65.348799215814=x
x=65.348799215814

now we have:
20 is 65.348799215814% of 30.605