255 is what percent of 1 - 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 1 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 1, so we can write it down as 100%=1.
4. We know, that x% equals 255 of the output value, so we can write it down as x%=255.
5. Now we have two simple equations:
1) 100%=1
2) x%=255
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%=1/255
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 255 is what percent of 1

100%/x%=1/255
(100/x)*x=(1/255)*x       - we multiply both sides of the equation by x
100=0.003921568627451*x       - we divide both sides of the equation by (0.003921568627451) to get x
100/0.003921568627451=x
25500=x
x=25500

now we have:
255 is 25500% of 1