82 is what percent of 705 - 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 705 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 705, so we can write it down as 100%=705.
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%=705
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%=705/82
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 705

100%/x%=705/82
(100/x)*x=(705/82)*x       - we multiply both sides of the equation by x
100=8.5975609756098*x       - we divide both sides of the equation by (8.5975609756098) to get x
100/8.5975609756098=x
11.631205673759=x
x=11.631205673759

now we have:
82 is 11.631205673759% of 705