What is 29.146 percent of 40.644 - 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 40.644 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 40.644 is 100%, so we can write it down as 40.644=100%.
4. We know, that x is 29.146% of the output value, so we can write it down as x=29.146%.
5. Now we have two simple equations:
1) 40.644=100%
2) x=29.146%
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:
40.644/x=100%/29.146%
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 29.146% of 40.644

40.644/x=100/29.146
(40.644/x)*x=(100/29.146)*x       - we multiply both sides of the equation by x
40.644=3.4310025389419*x       - we divide both sides of the equation by (3.4310025389419) to get x
40.644/3.4310025389419=x
11.84610024=x
x=11.84610024

now we have:
29.146% of 40.644=11.84610024