What is 47 percent of 82.56 - 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 82.56 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 82.56 is 100%, so we can write it down as 82.56=100%.
4. We know, that x is 47% of the output value, so we can write it down as x=47%.
5. Now we have two simple equations:
1) 82.56=100%
2) x=47%
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:
82.56/x=100%/47%
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 47% of 82.56

82.56/x=100/47
(82.56/x)*x=(100/47)*x       - we multiply both sides of the equation by x
82.56=2.1276595744681*x       - we divide both sides of the equation by (2.1276595744681) to get x
82.56/2.1276595744681=x
38.8032=x
x=38.8032

now we have:
47% of 82.56=38.8032