What is 50.4 percent of 38.363 - 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 38.363 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 38.363 is 100%, so we can write it down as 38.363=100%.
4. We know, that x is 50.4% of the output value, so we can write it down as x=50.4%.
5. Now we have two simple equations:
1) 38.363=100%
2) x=50.4%
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:
38.363/x=100%/50.4%
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 50.4% of 38.363

38.363/x=100/50.4
(38.363/x)*x=(100/50.4)*x       - we multiply both sides of the equation by x
38.363=1.984126984127*x       - we divide both sides of the equation by (1.984126984127) to get x
38.363/1.984126984127=x
19.334952=x
x=19.334952

now we have:
50.4% of 38.363=19.334952