What is 38.35 percent of 15.372 - 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 15.372 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 15.372 is 100%, so we can write it down as 15.372=100%.
4. We know, that x is 38.35% of the output value, so we can write it down as x=38.35%.
5. Now we have two simple equations:
1) 15.372=100%
2) x=38.35%
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:
15.372/x=100%/38.35%
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 38.35% of 15.372

15.372/x=100/38.35
(15.372/x)*x=(100/38.35)*x       - we multiply both sides of the equation by x
15.372=2.6075619295958*x       - we divide both sides of the equation by (2.6075619295958) to get x
15.372/2.6075619295958=x
5.895162=x
x=5.895162

now we have:
38.35% of 15.372=5.895162