82 is what percent of 892 - 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 892 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 892, so we can write it down as 100%=892.
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%=892
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%=892/82
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 892

100%/x%=892/82
(100/x)*x=(892/82)*x       - we multiply both sides of the equation by x
100=10.878048780488*x       - we divide both sides of the equation by (10.878048780488) to get x
100/10.878048780488=x
9.1928251121076=x
x=9.1928251121076

now we have:
82 is 9.1928251121076% of 892