What is 30.96 percent of 40.97 - 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 40.97 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 40.97 is 100%, so we can write it down as 40.97=100%.
4. We know, that x is 30.96% of the output value, so we can write it down as x=30.96%.
5. Now we have two simple equations:
1) 40.97=100%
2) x=30.96%
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:
40.97/x=100%/30.96%
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 30.96% of 40.97

40.97/x=100/30.96
(40.97/x)*x=(100/30.96)*x       - we multiply both sides of the equation by x
40.97=3.2299741602067*x       - we divide both sides of the equation by (3.2299741602067) to get x
40.97/3.2299741602067=x
12.684312=x
x=12.684312

now we have:
30.96% of 40.97=12.684312