13 is what percent of 1108 - 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 1108 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 1108, so we can write it down as 100%=1108.
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%=1108
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%=1108/13
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 1108

100%/x%=1108/13
(100/x)*x=(1108/13)*x       - we multiply both sides of the equation by x
100=85.230769230769*x       - we divide both sides of the equation by (85.230769230769) to get x
100/85.230769230769=x
1.173285198556=x
x=1.173285198556

now we have:
13 is 1.173285198556% of 1108