272.85 is what percent of 383.25 - 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 383.25 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 383.25, so we can write it down as 100%=383.25.
4. We know, that x% equals 272.85 of the output value, so we can write it down as x%=272.85.
5. Now we have two simple equations:
1) 100%=383.25
2) x%=272.85
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%=383.25/272.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 272.85 is what percent of 383.25

100%/x%=383.25/272.85
(100/x)*x=(383.25/272.85)*x       - we multiply both sides of the equation by x
100=1.4046179219351*x       - we divide both sides of the equation by (1.4046179219351) to get x
100/1.4046179219351=x
71.19373776908=x
x=71.19373776908

now we have:
272.85 is 71.19373776908% of 383.25