What is 103.632 percent of 0.04008 - 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 0.04008 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 0.04008 is 100%, so we can write it down as 0.04008=100%.
4. We know, that x is 103.632% of the output value, so we can write it down as x=103.632%.
5. Now we have two simple equations:
1) 0.04008=100%
2) x=103.632%
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:
0.04008/x=100%/103.632%
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 103.632% of 0.04008

0.04008/x=100/103.632
(0.04008/x)*x=(100/103.632)*x       - we multiply both sides of the equation by x
0.04008=0.96495291029798*x       - we divide both sides of the equation by (0.96495291029798) to get x
0.04008/0.96495291029798=x
0.0415357056=x
x=0.0415357056

now we have:
103.632% of 0.04008=0.0415357056