What is 16 percent of 38.1 - 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 38.1 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 38.1 is 100%, so we can write it down as 38.1=100%.
4. We know, that x is 16% of the output value, so we can write it down as x=16%.
5. Now we have two simple equations:
1) 38.1=100%
2) x=16%
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:
38.1/x=100%/16%
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 16% of 38.1

38.1/x=100/16
(38.1/x)*x=(100/16)*x       - we multiply both sides of the equation by x
38.1=6.25*x       - we divide both sides of the equation by (6.25) to get x
38.1/6.25=x
6.096=x
x=6.096

now we have:
16% of 38.1=6.096