What is 16 percent of 37.82 - 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 37.82 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 37.82 is 100%, so we can write it down as 37.82=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) 37.82=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:
37.82/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 37.82

37.82/x=100/16
(37.82/x)*x=(100/16)*x       - we multiply both sides of the equation by x
37.82=6.25*x       - we divide both sides of the equation by (6.25) to get x
37.82/6.25=x
6.0512=x
x=6.0512

now we have:
16% of 37.82=6.0512