13.37 is what percent of 12.55 - 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 12.55 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 12.55, so we can write it down as 100%=12.55.
4. We know, that x% equals 13.37 of the output value, so we can write it down as x%=13.37.
5. Now we have two simple equations:
1) 100%=12.55
2) x%=13.37
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%=12.55/13.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.37 is what percent of 12.55

100%/x%=12.55/13.37
(100/x)*x=(12.55/13.37)*x       - we multiply both sides of the equation by x
100=0.93866866118175*x       - we divide both sides of the equation by (0.93866866118175) to get x
100/0.93866866118175=x
106.53386454183=x
x=106.53386454183

now we have:
13.37 is 106.53386454183% of 12.55