What is 7.975 percent of 466.39 - 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 466.39 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 466.39 is 100%, so we can write it down as 466.39=100%.
4. We know, that x is 7.975% of the output value, so we can write it down as x=7.975%.
5. Now we have two simple equations:
1) 466.39=100%
2) x=7.975%
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:
466.39/x=100%/7.975%
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 7.975% of 466.39

466.39/x=100/7.975
(466.39/x)*x=(100/7.975)*x       - we multiply both sides of the equation by x
466.39=12.539184952978*x       - we divide both sides of the equation by (12.539184952978) to get x
466.39/12.539184952978=x
37.1946025=x
x=37.1946025

now we have:
7.975% of 466.39=37.1946025