13.47 is what percent of 15.33 - 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 15.33 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 15.33, so we can write it down as 100%=15.33.
4. We know, that x% equals 13.47 of the output value, so we can write it down as x%=13.47.
5. Now we have two simple equations:
1) 100%=15.33
2) x%=13.47
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%=15.33/13.47
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.47 is what percent of 15.33

100%/x%=15.33/13.47
(100/x)*x=(15.33/13.47)*x       - we multiply both sides of the equation by x
100=1.1380846325167*x       - we divide both sides of the equation by (1.1380846325167) to get x
100/1.1380846325167=x
87.866927592955=x
x=87.866927592955

now we have:
13.47 is 87.866927592955% of 15.33