What is 8.5 percent of 459.96 - 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 459.96 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 459.96 is 100%, so we can write it down as 459.96=100%.
4. We know, that x is 8.5% of the output value, so we can write it down as x=8.5%.
5. Now we have two simple equations:
1) 459.96=100%
2) x=8.5%
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:
459.96/x=100%/8.5%
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 8.5% of 459.96

459.96/x=100/8.5
(459.96/x)*x=(100/8.5)*x       - we multiply both sides of the equation by x
459.96=11.764705882353*x       - we divide both sides of the equation by (11.764705882353) to get x
459.96/11.764705882353=x
39.0966=x
x=39.0966

now we have:
8.5% of 459.96=39.0966