What is 20.75 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 20.75% of the output value, so we can write it down as x=20.75%.
5. Now we have two simple equations:
1) 27.75=100%
2) x=20.75%
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%/20.75%
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 20.75% of 27.75

27.75/x=100/20.75
(27.75/x)*x=(100/20.75)*x       - we multiply both sides of the equation by x
27.75=4.8192771084337*x       - we divide both sides of the equation by (4.8192771084337) to get x
27.75/4.8192771084337=x
5.758125=x
x=5.758125

now we have:
20.75% of 27.75=5.758125