80.96 is what percent of 272.44 - 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 272.44 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 272.44, so we can write it down as 100%=272.44.
4. We know, that x% equals 80.96 of the output value, so we can write it down as x%=80.96.
5. Now we have two simple equations:
1) 100%=272.44
2) x%=80.96
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%=272.44/80.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 80.96 is what percent of 272.44

100%/x%=272.44/80.96
(100/x)*x=(272.44/80.96)*x       - we multiply both sides of the equation by x
100=3.3651185770751*x       - we divide both sides of the equation by (3.3651185770751) to get x
100/3.3651185770751=x
29.716634855381=x
x=29.716634855381

now we have:
80.96 is 29.716634855381% of 272.44