20.48 is what percent of 23824 - 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 23824 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 23824, so we can write it down as 100%=23824.
4. We know, that x% equals 20.48 of the output value, so we can write it down as x%=20.48.
5. Now we have two simple equations:
1) 100%=23824
2) x%=20.48
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%=23824/20.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 20.48 is what percent of 23824

100%/x%=23824/20.48
(100/x)*x=(23824/20.48)*x       - we multiply both sides of the equation by x
100=1163.28125*x       - we divide both sides of the equation by (1163.28125) to get x
100/1163.28125=x
0.085963734049698=x
x=0.085963734049698

now we have:
20.48 is 0.085963734049698% of 23824