What is 31.1 percent of 82.25 - 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 82.25 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 82.25 is 100%, so we can write it down as 82.25=100%.
4. We know, that x is 31.1% of the output value, so we can write it down as x=31.1%.
5. Now we have two simple equations:
1) 82.25=100%
2) x=31.1%
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:
82.25/x=100%/31.1%
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 31.1% of 82.25

82.25/x=100/31.1
(82.25/x)*x=(100/31.1)*x       - we multiply both sides of the equation by x
82.25=3.2154340836013*x       - we divide both sides of the equation by (3.2154340836013) to get x
82.25/3.2154340836013=x
25.57975=x
x=25.57975

now we have:
31.1% of 82.25=25.57975