What is 31.24 percent of 40.09 - 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 40.09 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 40.09 is 100%, so we can write it down as 40.09=100%.
4. We know, that x is 31.24% of the output value, so we can write it down as x=31.24%.
5. Now we have two simple equations:
1) 40.09=100%
2) x=31.24%
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:
40.09/x=100%/31.24%
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 31.24% of 40.09

40.09/x=100/31.24
(40.09/x)*x=(100/31.24)*x       - we multiply both sides of the equation by x
40.09=3.2010243277849*x       - we divide both sides of the equation by (3.2010243277849) to get x
40.09/3.2010243277849=x
12.524116=x
x=12.524116

now we have:
31.24% of 40.09=12.524116