77.3 is what percent of 82 - 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 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, so we can write it down as 100%=82.
4. We know, that x% equals 77.3 of the output value, so we can write it down as x%=77.3.
5. Now we have two simple equations:
1) 100%=82
2) x%=77.3
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%=82/77.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 77.3 is what percent of 82

100%/x%=82/77.3
(100/x)*x=(82/77.3)*x       - we multiply both sides of the equation by x
100=1.0608020698577*x       - we divide both sides of the equation by (1.0608020698577) to get x
100/1.0608020698577=x
94.268292682927=x
x=94.268292682927

now we have:
77.3 is 94.268292682927% of 82