257.5 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 257.5 of the output value, so we can write it down as x%=257.5.
5. Now we have two simple equations:
1) 100%=255
2) x%=257.5
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%=255/257.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 257.5 is what percent of 255

100%/x%=255/257.5
(100/x)*x=(255/257.5)*x       - we multiply both sides of the equation by x
100=0.99029126213592*x       - we divide both sides of the equation by (0.99029126213592) to get x
100/0.99029126213592=x
100.98039215686=x
x=100.98039215686

now we have:
257.5 is 100.98039215686% of 255