What is 9.25 percent of 419.47 - 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 419.47 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 419.47 is 100%, so we can write it down as 419.47=100%.
4. We know, that x is 9.25% of the output value, so we can write it down as x=9.25%.
5. Now we have two simple equations:
1) 419.47=100%
2) x=9.25%
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:
419.47/x=100%/9.25%
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 9.25% of 419.47

419.47/x=100/9.25
(419.47/x)*x=(100/9.25)*x       - we multiply both sides of the equation by x
419.47=10.810810810811*x       - we divide both sides of the equation by (10.810810810811) to get x
419.47/10.810810810811=x
38.800975=x
x=38.800975

now we have:
9.25% of 419.47=38.800975