What is 21.9 percent of 105.75 - 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 105.75 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 105.75 is 100%, so we can write it down as 105.75=100%.
4. We know, that x is 21.9% of the output value, so we can write it down as x=21.9%.
5. Now we have two simple equations:
1) 105.75=100%
2) x=21.9%
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:
105.75/x=100%/21.9%
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 21.9% of 105.75

105.75/x=100/21.9
(105.75/x)*x=(100/21.9)*x       - we multiply both sides of the equation by x
105.75=4.5662100456621*x       - we divide both sides of the equation by (4.5662100456621) to get x
105.75/4.5662100456621=x
23.15925=x
x=23.15925

now we have:
21.9% of 105.75=23.15925