255.83 is what percent of 285 - 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 285 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 285, so we can write it down as 100%=285.
4. We know, that x% equals 255.83 of the output value, so we can write it down as x%=255.83.
5. Now we have two simple equations:
1) 100%=285
2) x%=255.83
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%=285/255.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 255.83 is what percent of 285

100%/x%=285/255.83
(100/x)*x=(285/255.83)*x       - we multiply both sides of the equation by x
100=1.11402102959*x       - we divide both sides of the equation by (1.11402102959) to get x
100/1.11402102959=x
89.764912280702=x
x=89.764912280702

now we have:
255.83 is 89.764912280702% of 285