23.05 is what percent of 24.5 - 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 24.5 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 24.5, so we can write it down as 100%=24.5.
4. We know, that x% equals 23.05 of the output value, so we can write it down as x%=23.05.
5. Now we have two simple equations:
1) 100%=24.5
2) x%=23.05
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%=24.5/23.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 23.05 is what percent of 24.5

100%/x%=24.5/23.05
(100/x)*x=(24.5/23.05)*x       - we multiply both sides of the equation by x
100=1.0629067245119*x       - we divide both sides of the equation by (1.0629067245119) to get x
100/1.0629067245119=x
94.081632653061=x
x=94.081632653061

now we have:
23.05 is 94.081632653061% of 24.5