20.42 is what percent of 65.41 - 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 65.41 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 65.41, so we can write it down as 100%=65.41.
4. We know, that x% equals 20.42 of the output value, so we can write it down as x%=20.42.
5. Now we have two simple equations:
1) 100%=65.41
2) x%=20.42
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%=65.41/20.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.42 is what percent of 65.41

100%/x%=65.41/20.42
(100/x)*x=(65.41/20.42)*x       - we multiply both sides of the equation by x
100=3.2032321253673*x       - we divide both sides of the equation by (3.2032321253673) to get x
100/3.2032321253673=x
31.21846812414=x
x=31.21846812414

now we have:
20.42 is 31.21846812414% of 65.41