What is 4.1 percent of 100.5 - 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 100.5 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 100.5 is 100%, so we can write it down as 100.5=100%.
4. We know, that x is 4.1% of the output value, so we can write it down as x=4.1%.
5. Now we have two simple equations:
1) 100.5=100%
2) x=4.1%
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:
100.5/x=100%/4.1%
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 4.1% of 100.5

100.5/x=100/4.1
(100.5/x)*x=(100/4.1)*x       - we multiply both sides of the equation by x
100.5=24.390243902439*x       - we divide both sides of the equation by (24.390243902439) to get x
100.5/24.390243902439=x
4.1205=x
x=4.1205

now we have:
4.1% of 100.5=4.1205