20.8 is what percent of 23.8 - 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 23.8 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 23.8, so we can write it down as 100%=23.8.
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%=23.8
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%=23.8/20.8
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 23.8

100%/x%=23.8/20.8
(100/x)*x=(23.8/20.8)*x       - we multiply both sides of the equation by x
100=1.1442307692308*x       - we divide both sides of the equation by (1.1442307692308) to get x
100/1.1442307692308=x
87.394957983193=x
x=87.394957983193

now we have:
20.8 is 87.394957983193% of 23.8