82 is what percent of 782 - 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 782 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 782, so we can write it down as 100%=782.
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%=782
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%=782/82
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 782

100%/x%=782/82
(100/x)*x=(782/82)*x       - we multiply both sides of the equation by x
100=9.5365853658537*x       - we divide both sides of the equation by (9.5365853658537) to get x
100/9.5365853658537=x
10.485933503836=x
x=10.485933503836

now we have:
82 is 10.485933503836% of 782