13.5 is what percent of 165.5 - 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 165.5 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 165.5, so we can write it down as 100%=165.5.
4. We know, that x% equals 13.5 of the output value, so we can write it down as x%=13.5.
5. Now we have two simple equations:
1) 100%=165.5
2) x%=13.5
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%=165.5/13.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.5 is what percent of 165.5

100%/x%=165.5/13.5
(100/x)*x=(165.5/13.5)*x       - we multiply both sides of the equation by x
100=12.259259259259*x       - we divide both sides of the equation by (12.259259259259) to get x
100/12.259259259259=x
8.1570996978852=x
x=8.1570996978852

now we have:
13.5 is 8.1570996978852% of 165.5