110.25 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 110.25 of the output value, so we can write it down as x%=110.25.
5. Now we have two simple equations:
1) 100%=285
2) x%=110.25
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%=285/110.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 110.25 is what percent of 285

100%/x%=285/110.25
(100/x)*x=(285/110.25)*x       - we multiply both sides of the equation by x
100=2.5850340136054*x       - we divide both sides of the equation by (2.5850340136054) to get x
100/2.5850340136054=x
38.684210526316=x
x=38.684210526316

now we have:
110.25 is 38.684210526316% of 285