20 is what percent of 50.49 - 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 50.49 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 50.49, so we can write it down as 100%=50.49.
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%=50.49
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%=50.49/20
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 50.49

100%/x%=50.49/20
(100/x)*x=(50.49/20)*x       - we multiply both sides of the equation by x
100=2.5245*x       - we divide both sides of the equation by (2.5245) to get x
100/2.5245=x
39.611804317687=x
x=39.611804317687

now we have:
20 is 39.611804317687% of 50.49