What is 4.65 percent of 100.1 - 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 100.1 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 100.1 is 100%, so we can write it down as 100.1=100%.
4. We know, that x is 4.65% of the output value, so we can write it down as x=4.65%.
5. Now we have two simple equations:
1) 100.1=100%
2) x=4.65%
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:
100.1/x=100%/4.65%
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 4.65% of 100.1

100.1/x=100/4.65
(100.1/x)*x=(100/4.65)*x       - we multiply both sides of the equation by x
100.1=21.505376344086*x       - we divide both sides of the equation by (21.505376344086) to get x
100.1/21.505376344086=x
4.65465=x
x=4.65465

now we have:
4.65% of 100.1=4.65465