What is 499.99 percent of 499.99 - 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 499.99 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 499.99 is 100%, so we can write it down as 499.99=100%.
4. We know, that x is 499.99% of the output value, so we can write it down as x=499.99%.
5. Now we have two simple equations:
1) 499.99=100%
2) x=499.99%
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:
499.99/x=100%/499.99%
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 499.99% of 499.99

499.99/x=100/499.99
(499.99/x)*x=(100/499.99)*x       - we multiply both sides of the equation by x
499.99=0.20000400008*x       - we divide both sides of the equation by (0.20000400008) to get x
499.99/0.20000400008=x
2499.900001=x
x=2499.900001

now we have:
499.99% of 499.99=2499.900001