What is 2.08 percent of 496.31 - 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 496.31 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 496.31 is 100%, so we can write it down as 496.31=100%.
4. We know, that x is 2.08% of the output value, so we can write it down as x=2.08%.
5. Now we have two simple equations:
1) 496.31=100%
2) x=2.08%
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:
496.31/x=100%/2.08%
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 2.08% of 496.31

496.31/x=100/2.08
(496.31/x)*x=(100/2.08)*x       - we multiply both sides of the equation by x
496.31=48.076923076923*x       - we divide both sides of the equation by (48.076923076923) to get x
496.31/48.076923076923=x
10.323248=x
x=10.323248

now we have:
2.08% of 496.31=10.323248