What is 31.58 percent of 40.27 - 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 40.27 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 40.27 is 100%, so we can write it down as 40.27=100%.
4. We know, that x is 31.58% of the output value, so we can write it down as x=31.58%.
5. Now we have two simple equations:
1) 40.27=100%
2) x=31.58%
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:
40.27/x=100%/31.58%
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 31.58% of 40.27

40.27/x=100/31.58
(40.27/x)*x=(100/31.58)*x       - we multiply both sides of the equation by x
40.27=3.1665611146295*x       - we divide both sides of the equation by (3.1665611146295) to get x
40.27/3.1665611146295=x
12.717266=x
x=12.717266

now we have:
31.58% of 40.27=12.717266