What is 59.9 percent of 9.99 - 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 9.99 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 9.99 is 100%, so we can write it down as 9.99=100%.
4. We know, that x is 59.9% of the output value, so we can write it down as x=59.9%.
5. Now we have two simple equations:
1) 9.99=100%
2) x=59.9%
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:
9.99/x=100%/59.9%
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 59.9% of 9.99

9.99/x=100/59.9
(9.99/x)*x=(100/59.9)*x       - we multiply both sides of the equation by x
9.99=1.669449081803*x       - we divide both sides of the equation by (1.669449081803) to get x
9.99/1.669449081803=x
5.98401=x
x=5.98401

now we have:
59.9% of 9.99=5.98401