255.26 is what percent of 24308.13 - 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 24308.13 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 24308.13, so we can write it down as 100%=24308.13.
4. We know, that x% equals 255.26 of the output value, so we can write it down as x%=255.26.
5. Now we have two simple equations:
1) 100%=24308.13
2) x%=255.26
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%=24308.13/255.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 255.26 is what percent of 24308.13

100%/x%=24308.13/255.26
(100/x)*x=(24308.13/255.26)*x       - we multiply both sides of the equation by x
100=95.228903862728*x       - we divide both sides of the equation by (95.228903862728) to get x
100/95.228903862728=x
1.0501013446941=x
x=1.0501013446941

now we have:
255.26 is 1.0501013446941% of 24308.13