What is 42.37 percent of 33.364 - 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 33.364 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 33.364 is 100%, so we can write it down as 33.364=100%.
4. We know, that x is 42.37% of the output value, so we can write it down as x=42.37%.
5. Now we have two simple equations:
1) 33.364=100%
2) x=42.37%
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:
33.364/x=100%/42.37%
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 42.37% of 33.364

33.364/x=100/42.37
(33.364/x)*x=(100/42.37)*x       - we multiply both sides of the equation by x
33.364=2.3601604909134*x       - we divide both sides of the equation by (2.3601604909134) to get x
33.364/2.3601604909134=x
14.1363268=x
x=14.1363268

now we have:
42.37% of 33.364=14.1363268