0.77 is what percent of 82.25 - 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 82.25 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 82.25, so we can write it down as 100%=82.25.
4. We know, that x% equals 0.77 of the output value, so we can write it down as x%=0.77.
5. Now we have two simple equations:
1) 100%=82.25
2) x%=0.77
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%=82.25/0.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.77 is what percent of 82.25

100%/x%=82.25/0.77
(100/x)*x=(82.25/0.77)*x       - we multiply both sides of the equation by x
100=106.81818181818*x       - we divide both sides of the equation by (106.81818181818) to get x
100/106.81818181818=x
0.93617021276596=x
x=0.93617021276596

now we have:
0.77 is 0.93617021276596% of 82.25