13 is what percent of 110.5 - 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 110.5 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 110.5, so we can write it down as 100%=110.5.
4. We know, that x% equals 13 of the output value, so we can write it down as x%=13.
5. Now we have two simple equations:
1) 100%=110.5
2) x%=13
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%=110.5/13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13 is what percent of 110.5

100%/x%=110.5/13
(100/x)*x=(110.5/13)*x       - we multiply both sides of the equation by x
100=8.5*x       - we divide both sides of the equation by (8.5) to get x
100/8.5=x
11.764705882353=x
x=11.764705882353

now we have:
13 is 11.764705882353% of 110.5