What is 82 percent of 105.2 - 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 105.2 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 105.2 is 100%, so we can write it down as 105.2=100%.
4. We know, that x is 82% of the output value, so we can write it down as x=82%.
5. Now we have two simple equations:
1) 105.2=100%
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:
105.2/x=100%/82%
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% of 105.2

105.2/x=100/82
(105.2/x)*x=(100/82)*x       - we multiply both sides of the equation by x
105.2=1.219512195122*x       - we divide both sides of the equation by (1.219512195122) to get x
105.2/1.219512195122=x
86.264=x
x=86.264

now we have:
82% of 105.2=86.264