13.14 is what percent of 24.36 - 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 24.36 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 24.36, so we can write it down as 100%=24.36.
4. We know, that x% equals 13.14 of the output value, so we can write it down as x%=13.14.
5. Now we have two simple equations:
1) 100%=24.36
2) x%=13.14
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%=24.36/13.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.14 is what percent of 24.36

100%/x%=24.36/13.14
(100/x)*x=(24.36/13.14)*x       - we multiply both sides of the equation by x
100=1.8538812785388*x       - we divide both sides of the equation by (1.8538812785388) to get x
100/1.8538812785388=x
53.940886699507=x
x=53.940886699507

now we have:
13.14 is 53.940886699507% of 24.36