What is 82.41 percent of 47.25 - 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 47.25 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 47.25 is 100%, so we can write it down as 47.25=100%.
4. We know, that x is 82.41% of the output value, so we can write it down as x=82.41%.
5. Now we have two simple equations:
1) 47.25=100%
2) x=82.41%
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:
47.25/x=100%/82.41%
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 82.41% of 47.25

47.25/x=100/82.41
(47.25/x)*x=(100/82.41)*x       - we multiply both sides of the equation by x
47.25=1.2134449702706*x       - we divide both sides of the equation by (1.2134449702706) to get x
47.25/1.2134449702706=x
38.938725=x
x=38.938725

now we have:
82.41% of 47.25=38.938725