254.8 is what percent of 256 - 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 256 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 256, so we can write it down as 100%=256.
4. We know, that x% equals 254.8 of the output value, so we can write it down as x%=254.8.
5. Now we have two simple equations:
1) 100%=256
2) x%=254.8
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%=256/254.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 254.8 is what percent of 256

100%/x%=256/254.8
(100/x)*x=(256/254.8)*x       - we multiply both sides of the equation by x
100=1.0047095761381*x       - we divide both sides of the equation by (1.0047095761381) to get x
100/1.0047095761381=x
99.53125=x
x=99.53125

now we have:
254.8 is 99.53125% of 256