What is 8.33 percent of 460 - 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 460 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 460 is 100%, so we can write it down as 460=100%.
4. We know, that x is 8.33% of the output value, so we can write it down as x=8.33%.
5. Now we have two simple equations:
1) 460=100%
2) x=8.33%
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:
460/x=100%/8.33%
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 8.33% of 460

460/x=100/8.33
(460/x)*x=(100/8.33)*x       - we multiply both sides of the equation by x
460=12.004801920768*x       - we divide both sides of the equation by (12.004801920768) to get x
460/12.004801920768=x
38.318=x
x=38.318

now we have:
8.33% of 460=38.318