What is 499.99 percent of 35.99 - 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 35.99 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 35.99 is 100%, so we can write it down as 35.99=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) 35.99=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:
35.99/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 35.99

35.99/x=100/499.99
(35.99/x)*x=(100/499.99)*x       - we multiply both sides of the equation by x
35.99=0.20000400008*x       - we divide both sides of the equation by (0.20000400008) to get x
35.99/0.20000400008=x
179.946401=x
x=179.946401

now we have:
499.99% of 35.99=179.946401