What is 89.2 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 255 is 100%, so we can write it down as 255=100%.
4. We know, that x is 89.2% of the output value, so we can write it down as x=89.2%.
5. Now we have two simple equations:
1) 255=100%
2) x=89.2%
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:
255/x=100%/89.2%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 89.2% of 255

255/x=100/89.2
(255/x)*x=(100/89.2)*x       - we multiply both sides of the equation by x
255=1.1210762331839*x       - we divide both sides of the equation by (1.1210762331839) to get x
255/1.1210762331839=x
227.46=x
x=227.46

now we have:
89.2% of 255=227.46