23 is what percent of 48.85 - 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 48.85 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 48.85, so we can write it down as 100%=48.85.
4. We know, that x% equals 23 of the output value, so we can write it down as x%=23.
5. Now we have two simple equations:
1) 100%=48.85
2) x%=23
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%=48.85/23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23 is what percent of 48.85

100%/x%=48.85/23
(100/x)*x=(48.85/23)*x       - we multiply both sides of the equation by x
100=2.1239130434783*x       - we divide both sides of the equation by (2.1239130434783) to get x
100/2.1239130434783=x
47.082906857728=x
x=47.082906857728

now we have:
23 is 47.082906857728% of 48.85