82 is what percent of 8040 - 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 8040 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 8040, so we can write it down as 100%=8040.
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%=8040
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%=8040/82
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 8040

100%/x%=8040/82
(100/x)*x=(8040/82)*x       - we multiply both sides of the equation by x
100=98.048780487805*x       - we divide both sides of the equation by (98.048780487805) to get x
100/98.048780487805=x
1.0199004975124=x
x=1.0199004975124

now we have:
82 is 1.0199004975124% of 8040