What is 31 percent of 82.75 - 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 82.75 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 82.75 is 100%, so we can write it down as 82.75=100%.
4. We know, that x is 31% of the output value, so we can write it down as x=31%.
5. Now we have two simple equations:
1) 82.75=100%
2) x=31%
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:
82.75/x=100%/31%
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% of 82.75

82.75/x=100/31
(82.75/x)*x=(100/31)*x       - we multiply both sides of the equation by x
82.75=3.2258064516129*x       - we divide both sides of the equation by (3.2258064516129) to get x
82.75/3.2258064516129=x
25.6525=x
x=25.6525

now we have:
31% of 82.75=25.6525