711.75 is what percent of 777 - 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 777 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 777, so we can write it down as 100%=777.
4. We know, that x% equals 711.75 of the output value, so we can write it down as x%=711.75.
5. Now we have two simple equations:
1) 100%=777
2) x%=711.75
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%=777/711.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 711.75 is what percent of 777

100%/x%=777/711.75
(100/x)*x=(777/711.75)*x       - we multiply both sides of the equation by x
100=1.0916754478398*x       - we divide both sides of the equation by (1.0916754478398) to get x
100/1.0916754478398=x
91.602316602317=x
x=91.602316602317

now we have:
711.75 is 91.602316602317% of 777