13.94 is what percent of 72.19 - 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 72.19 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 72.19, so we can write it down as 100%=72.19.
4. We know, that x% equals 13.94 of the output value, so we can write it down as x%=13.94.
5. Now we have two simple equations:
1) 100%=72.19
2) x%=13.94
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%=72.19/13.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.94 is what percent of 72.19

100%/x%=72.19/13.94
(100/x)*x=(72.19/13.94)*x       - we multiply both sides of the equation by x
100=5.1786226685796*x       - we divide both sides of the equation by (5.1786226685796) to get x
100/5.1786226685796=x
19.310153760909=x
x=19.310153760909

now we have:
13.94 is 19.310153760909% of 72.19