What is 39.99 percent of 29.99 - 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 29.99 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 29.99 is 100%, so we can write it down as 29.99=100%.
4. We know, that x is 39.99% of the output value, so we can write it down as x=39.99%.
5. Now we have two simple equations:
1) 29.99=100%
2) x=39.99%
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:
29.99/x=100%/39.99%
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 39.99% of 29.99

29.99/x=100/39.99
(29.99/x)*x=(100/39.99)*x       - we multiply both sides of the equation by x
29.99=2.5006251562891*x       - we divide both sides of the equation by (2.5006251562891) to get x
29.99/2.5006251562891=x
11.993001=x
x=11.993001

now we have:
39.99% of 29.99=11.993001