28.45 is what percent of 255 - 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 255 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 255, so we can write it down as 100%=255.
4. We know, that x% equals 28.45 of the output value, so we can write it down as x%=28.45.
5. Now we have two simple equations:
1) 100%=255
2) x%=28.45
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%=255/28.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.45 is what percent of 255

100%/x%=255/28.45
(100/x)*x=(255/28.45)*x       - we multiply both sides of the equation by x
100=8.9630931458699*x       - we divide both sides of the equation by (8.9630931458699) to get x
100/8.9630931458699=x
11.156862745098=x
x=11.156862745098

now we have:
28.45 is 11.156862745098% of 255