What is 8.25 percent of 409.2 - 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 409.2 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 409.2 is 100%, so we can write it down as 409.2=100%.
4. We know, that x is 8.25% of the output value, so we can write it down as x=8.25%.
5. Now we have two simple equations:
1) 409.2=100%
2) x=8.25%
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:
409.2/x=100%/8.25%
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 8.25% of 409.2

409.2/x=100/8.25
(409.2/x)*x=(100/8.25)*x       - we multiply both sides of the equation by x
409.2=12.121212121212*x       - we divide both sides of the equation by (12.121212121212) to get x
409.2/12.121212121212=x
33.759=x
x=33.759

now we have:
8.25% of 409.2=33.759