13.69 is what percent of 505 - 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 505 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 505, so we can write it down as 100%=505.
4. We know, that x% equals 13.69 of the output value, so we can write it down as x%=13.69.
5. Now we have two simple equations:
1) 100%=505
2) x%=13.69
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%=505/13.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.69 is what percent of 505

100%/x%=505/13.69
(100/x)*x=(505/13.69)*x       - we multiply both sides of the equation by x
100=36.888239590942*x       - we divide both sides of the equation by (36.888239590942) to get x
100/36.888239590942=x
2.7108910891089=x
x=2.7108910891089

now we have:
13.69 is 2.7108910891089% of 505