What is 11.4 percent of 409 - 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 409 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 409 is 100%, so we can write it down as 409=100%.
4. We know, that x is 11.4% of the output value, so we can write it down as x=11.4%.
5. Now we have two simple equations:
1) 409=100%
2) x=11.4%
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:
409/x=100%/11.4%
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 11.4% of 409

409/x=100/11.4
(409/x)*x=(100/11.4)*x       - we multiply both sides of the equation by x
409=8.7719298245614*x       - we divide both sides of the equation by (8.7719298245614) to get x
409/8.7719298245614=x
46.626=x
x=46.626

now we have:
11.4% of 409=46.626