What is 82.75 percent of 130 - 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 130 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 130 is 100%, so we can write it down as 130=100%.
4. We know, that x is 82.75% of the output value, so we can write it down as x=82.75%.
5. Now we have two simple equations:
1) 130=100%
2) x=82.75%
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:
130/x=100%/82.75%
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 82.75% of 130

130/x=100/82.75
(130/x)*x=(100/82.75)*x       - we multiply both sides of the equation by x
130=1.2084592145015*x       - we divide both sides of the equation by (1.2084592145015) to get x
130/1.2084592145015=x
107.575=x
x=107.575

now we have:
82.75% of 130=107.575