13.27 is what percent of 13 - 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 13 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 13, so we can write it down as 100%=13.
4. We know, that x% equals 13.27 of the output value, so we can write it down as x%=13.27.
5. Now we have two simple equations:
1) 100%=13
2) x%=13.27
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%=13/13.27
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.27 is what percent of 13

100%/x%=13/13.27
(100/x)*x=(13/13.27)*x       - we multiply both sides of the equation by x
100=0.97965335342879*x       - we divide both sides of the equation by (0.97965335342879) to get x
100/0.97965335342879=x
102.07692307692=x
x=102.07692307692

now we have:
13.27 is 102.07692307692% of 13