255.22 is what percent of 288 - 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 288 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 288, so we can write it down as 100%=288.
4. We know, that x% equals 255.22 of the output value, so we can write it down as x%=255.22.
5. Now we have two simple equations:
1) 100%=288
2) x%=255.22
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%=288/255.22
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 255.22 is what percent of 288

100%/x%=288/255.22
(100/x)*x=(288/255.22)*x       - we multiply both sides of the equation by x
100=1.1284382101716*x       - we divide both sides of the equation by (1.1284382101716) to get x
100/1.1284382101716=x
88.618055555556=x
x=88.618055555556

now we have:
255.22 is 88.618055555556% of 288