82 is what percent of 103 - 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 103 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 103, so we can write it down as 100%=103.
4. We know, that x% equals 82 of the output value, so we can write it down as x%=82.
5. Now we have two simple equations:
1) 100%=103
2) x%=82
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%=103/82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82 is what percent of 103

100%/x%=103/82
(100/x)*x=(103/82)*x       - we multiply both sides of the equation by x
100=1.2560975609756*x       - we divide both sides of the equation by (1.2560975609756) to get x
100/1.2560975609756=x
79.611650485437=x
x=79.611650485437

now we have:
82 is 79.611650485437% of 103