80 is what percent of 3096 - 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 3096 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 3096, so we can write it down as 100%=3096.
4. We know, that x% equals 80 of the output value, so we can write it down as x%=80.
5. Now we have two simple equations:
1) 100%=3096
2) x%=80
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%=3096/80
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 80 is what percent of 3096

100%/x%=3096/80
(100/x)*x=(3096/80)*x       - we multiply both sides of the equation by x
100=38.7*x       - we divide both sides of the equation by (38.7) to get x
100/38.7=x
2.5839793281654=x
x=2.5839793281654

now we have:
80 is 2.5839793281654% of 3096