13.1 is what percent of 66.19 - 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 66.19 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 66.19, so we can write it down as 100%=66.19.
4. We know, that x% equals 13.1 of the output value, so we can write it down as x%=13.1.
5. Now we have two simple equations:
1) 100%=66.19
2) x%=13.1
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%=66.19/13.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.1 is what percent of 66.19

100%/x%=66.19/13.1
(100/x)*x=(66.19/13.1)*x       - we multiply both sides of the equation by x
100=5.0526717557252*x       - we divide both sides of the equation by (5.0526717557252) to get x
100/5.0526717557252=x
19.791509291434=x
x=19.791509291434

now we have:
13.1 is 19.791509291434% of 66.19