65.75 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 65.75 of the output value, so we can write it down as x%=65.75.
5. Now we have two simple equations:
1) 100%=77
2) x%=65.75
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%=77/65.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 65.75 is what percent of 77

100%/x%=77/65.75
(100/x)*x=(77/65.75)*x       - we multiply both sides of the equation by x
100=1.171102661597*x       - we divide both sides of the equation by (1.171102661597) to get x
100/1.171102661597=x
85.38961038961=x
x=85.38961038961

now we have:
65.75 is 85.38961038961% of 77