What is 4.875 percent of 5.5 - 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 5.5 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 5.5 is 100%, so we can write it down as 5.5=100%.
4. We know, that x is 4.875% of the output value, so we can write it down as x=4.875%.
5. Now we have two simple equations:
1) 5.5=100%
2) x=4.875%
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:
5.5/x=100%/4.875%
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 4.875% of 5.5

5.5/x=100/4.875
(5.5/x)*x=(100/4.875)*x       - we multiply both sides of the equation by x
5.5=20.512820512821*x       - we divide both sides of the equation by (20.512820512821) to get x
5.5/20.512820512821=x
0.268125=x
x=0.268125

now we have:
4.875% of 5.5=0.268125