What is 399.5 percent of 11.99 - 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 11.99 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 11.99 is 100%, so we can write it down as 11.99=100%.
4. We know, that x is 399.5% of the output value, so we can write it down as x=399.5%.
5. Now we have two simple equations:
1) 11.99=100%
2) x=399.5%
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:
11.99/x=100%/399.5%
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 399.5% of 11.99

11.99/x=100/399.5
(11.99/x)*x=(100/399.5)*x       - we multiply both sides of the equation by x
11.99=0.25031289111389*x       - we divide both sides of the equation by (0.25031289111389) to get x
11.99/0.25031289111389=x
47.90005=x
x=47.90005

now we have:
399.5% of 11.99=47.90005