24.07 is what percent of 25.55 - 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 25.55 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 25.55, so we can write it down as 100%=25.55.
4. We know, that x% equals 24.07 of the output value, so we can write it down as x%=24.07.
5. Now we have two simple equations:
1) 100%=25.55
2) x%=24.07
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%=25.55/24.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.07 is what percent of 25.55

100%/x%=25.55/24.07
(100/x)*x=(25.55/24.07)*x       - we multiply both sides of the equation by x
100=1.0614873286248*x       - we divide both sides of the equation by (1.0614873286248) to get x
100/1.0614873286248=x
94.207436399217=x
x=94.207436399217

now we have:
24.07 is 94.207436399217% of 25.55