48.66 is what percent of 80 - 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 80 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 80, so we can write it down as 100%=80.
4. We know, that x% equals 48.66 of the output value, so we can write it down as x%=48.66.
5. Now we have two simple equations:
1) 100%=80
2) x%=48.66
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%=80/48.66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.66 is what percent of 80

100%/x%=80/48.66
(100/x)*x=(80/48.66)*x       - we multiply both sides of the equation by x
100=1.6440608302507*x       - we divide both sides of the equation by (1.6440608302507) to get x
100/1.6440608302507=x
60.825=x
x=60.825

now we have:
48.66 is 60.825% of 80