255.32 is what percent of 287.28 - 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 287.28 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 287.28, so we can write it down as 100%=287.28.
4. We know, that x% equals 255.32 of the output value, so we can write it down as x%=255.32.
5. Now we have two simple equations:
1) 100%=287.28
2) x%=255.32
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%=287.28/255.32
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 255.32 is what percent of 287.28

100%/x%=287.28/255.32
(100/x)*x=(287.28/255.32)*x       - we multiply both sides of the equation by x
100=1.1251762494125*x       - we divide both sides of the equation by (1.1251762494125) to get x
100/1.1251762494125=x
88.874965190755=x
x=88.874965190755

now we have:
255.32 is 88.874965190755% of 287.28