What is 8.225 percent of 398.75 - 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 398.75 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 398.75 is 100%, so we can write it down as 398.75=100%.
4. We know, that x is 8.225% of the output value, so we can write it down as x=8.225%.
5. Now we have two simple equations:
1) 398.75=100%
2) x=8.225%
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:
398.75/x=100%/8.225%
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 8.225% of 398.75

398.75/x=100/8.225
(398.75/x)*x=(100/8.225)*x       - we multiply both sides of the equation by x
398.75=12.158054711246*x       - we divide both sides of the equation by (12.158054711246) to get x
398.75/12.158054711246=x
32.7971875=x
x=32.7971875

now we have:
8.225% of 398.75=32.7971875