What is 11.65 percent of 397.18 - 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 397.18 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 397.18 is 100%, so we can write it down as 397.18=100%.
4. We know, that x is 11.65% of the output value, so we can write it down as x=11.65%.
5. Now we have two simple equations:
1) 397.18=100%
2) x=11.65%
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:
397.18/x=100%/11.65%
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 11.65% of 397.18

397.18/x=100/11.65
(397.18/x)*x=(100/11.65)*x       - we multiply both sides of the equation by x
397.18=8.5836909871245*x       - we divide both sides of the equation by (8.5836909871245) to get x
397.18/8.5836909871245=x
46.27147=x
x=46.27147

now we have:
11.65% of 397.18=46.27147