23.86 is what percent of 24.48 - 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 24.48 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 24.48, so we can write it down as 100%=24.48.
4. We know, that x% equals 23.86 of the output value, so we can write it down as x%=23.86.
5. Now we have two simple equations:
1) 100%=24.48
2) x%=23.86
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%=24.48/23.86
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.86 is what percent of 24.48

100%/x%=24.48/23.86
(100/x)*x=(24.48/23.86)*x       - we multiply both sides of the equation by x
100=1.0259849119866*x       - we divide both sides of the equation by (1.0259849119866) to get x
100/1.0259849119866=x
97.467320261438=x
x=97.467320261438

now we have:
23.86 is 97.467320261438% of 24.48