What is 11.99 percent of 38.34 - 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 38.34 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 38.34 is 100%, so we can write it down as 38.34=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) 38.34=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:
38.34/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 38.34

38.34/x=100/11.99
(38.34/x)*x=(100/11.99)*x       - we multiply both sides of the equation by x
38.34=8.3402835696414*x       - we divide both sides of the equation by (8.3402835696414) to get x
38.34/8.3402835696414=x
4.596966=x
x=4.596966

now we have:
11.99% of 38.34=4.596966