227.5 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 227.5 of the output value, so we can write it down as x%=227.5.
5. Now we have two simple equations:
1) 100%=256
2) x%=227.5
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%=256/227.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 227.5 is what percent of 256

100%/x%=256/227.5
(100/x)*x=(256/227.5)*x       - we multiply both sides of the equation by x
100=1.1252747252747*x       - we divide both sides of the equation by (1.1252747252747) to get x
100/1.1252747252747=x
88.8671875=x
x=88.8671875

now we have:
227.5 is 88.8671875% of 256