What is 97.5 percent of 82 - 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 82 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 82 is 100%, so we can write it down as 82=100%.
4. We know, that x is 97.5% of the output value, so we can write it down as x=97.5%.
5. Now we have two simple equations:
1) 82=100%
2) x=97.5%
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:
82/x=100%/97.5%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 97.5% of 82

82/x=100/97.5
(82/x)*x=(100/97.5)*x       - we multiply both sides of the equation by x
82=1.025641025641*x       - we divide both sides of the equation by (1.025641025641) to get x
82/1.025641025641=x
79.95=x
x=79.95

now we have:
97.5% of 82=79.95