82.42 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 82.42 of the output value, so we can write it down as x%=82.42.
5. Now we have two simple equations:
1) 100%=96
2) x%=82.42
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%=96/82.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82.42 is what percent of 96

100%/x%=96/82.42
(100/x)*x=(96/82.42)*x       - we multiply both sides of the equation by x
100=1.1647658335355*x       - we divide both sides of the equation by (1.1647658335355) to get x
100/1.1647658335355=x
85.854166666667=x
x=85.854166666667

now we have:
82.42 is 85.854166666667% of 96