What is 6.63 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 6.63% of the output value, so we can write it down as x=6.63%.
5. Now we have two simple equations:
1) 499.99=100%
2) x=6.63%
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%/6.63%
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 6.63% of 499.99

499.99/x=100/6.63
(499.99/x)*x=(100/6.63)*x       - we multiply both sides of the equation by x
499.99=15.082956259427*x       - we divide both sides of the equation by (15.082956259427) to get x
499.99/15.082956259427=x
33.149337=x
x=33.149337

now we have:
6.63% of 499.99=33.149337