What is 12.555 percent of 40.5 - 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 40.5 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 40.5 is 100%, so we can write it down as 40.5=100%.
4. We know, that x is 12.555% of the output value, so we can write it down as x=12.555%.
5. Now we have two simple equations:
1) 40.5=100%
2) x=12.555%
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:
40.5/x=100%/12.555%
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 12.555% of 40.5

40.5/x=100/12.555
(40.5/x)*x=(100/12.555)*x       - we multiply both sides of the equation by x
40.5=7.9649542015133*x       - we divide both sides of the equation by (7.9649542015133) to get x
40.5/7.9649542015133=x
5.084775=x
x=5.084775

now we have:
12.555% of 40.5=5.084775