13.65 is what percent of 165.47 - 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 165.47 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 100% equals 165.47, so we can write it down as 100%=165.47.
4. We know, that x% equals 13.65 of the output value, so we can write it down as x%=13.65.
5. Now we have two simple equations:
1) 100%=165.47
2) x%=13.65
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:
100%/x%=165.47/13.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.65 is what percent of 165.47

100%/x%=165.47/13.65
(100/x)*x=(165.47/13.65)*x       - we multiply both sides of the equation by x
100=12.122344322344*x       - we divide both sides of the equation by (12.122344322344) to get x
100/12.122344322344=x
8.2492294675772=x
x=8.2492294675772

now we have:
13.65 is 8.2492294675772% of 165.47