72.8 is what percent of 77 - 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 77 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 77, so we can write it down as 100%=77.
4. We know, that x% equals 72.8 of the output value, so we can write it down as x%=72.8.
5. Now we have two simple equations:
1) 100%=77
2) x%=72.8
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%=77/72.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72.8 is what percent of 77

100%/x%=77/72.8
(100/x)*x=(77/72.8)*x       - we multiply both sides of the equation by x
100=1.0576923076923*x       - we divide both sides of the equation by (1.0576923076923) to get x
100/1.0576923076923=x
94.545454545455=x
x=94.545454545455

now we have:
72.8 is 94.545454545455% of 77