What is 28.23 percent of 66.75 - 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 66.75 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 66.75 is 100%, so we can write it down as 66.75=100%.
4. We know, that x is 28.23% of the output value, so we can write it down as x=28.23%.
5. Now we have two simple equations:
1) 66.75=100%
2) x=28.23%
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:
66.75/x=100%/28.23%
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 28.23% of 66.75

66.75/x=100/28.23
(66.75/x)*x=(100/28.23)*x       - we multiply both sides of the equation by x
66.75=3.5423308537017*x       - we divide both sides of the equation by (3.5423308537017) to get x
66.75/3.5423308537017=x
18.843525=x
x=18.843525

now we have:
28.23% of 66.75=18.843525