What is 16.16 percent of 27.75 - 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 27.75 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 27.75 is 100%, so we can write it down as 27.75=100%.
4. We know, that x is 16.16% of the output value, so we can write it down as x=16.16%.
5. Now we have two simple equations:
1) 27.75=100%
2) x=16.16%
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:
27.75/x=100%/16.16%
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 16.16% of 27.75

27.75/x=100/16.16
(27.75/x)*x=(100/16.16)*x       - we multiply both sides of the equation by x
27.75=6.1881188118812*x       - we divide both sides of the equation by (6.1881188118812) to get x
27.75/6.1881188118812=x
4.4844=x
x=4.4844

now we have:
16.16% of 27.75=4.4844