20.8 is what percent of 45.8 - 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 45.8 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 45.8, so we can write it down as 100%=45.8.
4. We know, that x% equals 20.8 of the output value, so we can write it down as x%=20.8.
5. Now we have two simple equations:
1) 100%=45.8
2) x%=20.8
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%=45.8/20.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.8 is what percent of 45.8

100%/x%=45.8/20.8
(100/x)*x=(45.8/20.8)*x       - we multiply both sides of the equation by x
100=2.2019230769231*x       - we divide both sides of the equation by (2.2019230769231) to get x
100/2.2019230769231=x
45.414847161572=x
x=45.414847161572

now we have:
20.8 is 45.414847161572% of 45.8