14.44 is what percent of 21.52 - 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 21.52 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 21.52, so we can write it down as 100%=21.52.
4. We know, that x% equals 14.44 of the output value, so we can write it down as x%=14.44.
5. Now we have two simple equations:
1) 100%=21.52
2) x%=14.44
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%=21.52/14.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 14.44 is what percent of 21.52

100%/x%=21.52/14.44
(100/x)*x=(21.52/14.44)*x       - we multiply both sides of the equation by x
100=1.4903047091413*x       - we divide both sides of the equation by (1.4903047091413) to get x
100/1.4903047091413=x
67.100371747212=x
x=67.100371747212

now we have:
14.44 is 67.100371747212% of 21.52