13.2 is what percent of 15.905 - 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 15.905 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 15.905, so we can write it down as 100%=15.905.
4. We know, that x% equals 13.2 of the output value, so we can write it down as x%=13.2.
5. Now we have two simple equations:
1) 100%=15.905
2) x%=13.2
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%=15.905/13.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.2 is what percent of 15.905

100%/x%=15.905/13.2
(100/x)*x=(15.905/13.2)*x       - we multiply both sides of the equation by x
100=1.2049242424242*x       - we divide both sides of the equation by (1.2049242424242) to get x
100/1.2049242424242=x
82.992769569318=x
x=82.992769569318

now we have:
13.2 is 82.992769569318% of 15.905