77 is what percent of 96 - 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 96 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 96, so we can write it down as 100%=96.
4. We know, that x% equals 77 of the output value, so we can write it down as x%=77.
5. Now we have two simple equations:
1) 100%=96
2) x%=77
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%=96/77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77 is what percent of 96

100%/x%=96/77
(100/x)*x=(96/77)*x       - we multiply both sides of the equation by x
100=1.2467532467532*x       - we divide both sides of the equation by (1.2467532467532) to get x
100/1.2467532467532=x
80.208333333333=x
x=80.208333333333

now we have:
77 is 80.208333333333% of 96