What is 11.99 percent of 3.99 - 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 3.99 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 3.99 is 100%, so we can write it down as 3.99=100%.
4. We know, that x is 11.99% of the output value, so we can write it down as x=11.99%.
5. Now we have two simple equations:
1) 3.99=100%
2) x=11.99%
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:
3.99/x=100%/11.99%
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 11.99% of 3.99

3.99/x=100/11.99
(3.99/x)*x=(100/11.99)*x       - we multiply both sides of the equation by x
3.99=8.3402835696414*x       - we divide both sides of the equation by (8.3402835696414) to get x
3.99/8.3402835696414=x
0.478401=x
x=0.478401

now we have:
11.99% of 3.99=0.478401