15.44 is what percent of 20.59 - 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 20.59 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 20.59, so we can write it down as 100%=20.59.
4. We know, that x% equals 15.44 of the output value, so we can write it down as x%=15.44.
5. Now we have two simple equations:
1) 100%=20.59
2) x%=15.44
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%=20.59/15.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 15.44 is what percent of 20.59

100%/x%=20.59/15.44
(100/x)*x=(20.59/15.44)*x       - we multiply both sides of the equation by x
100=1.3335492227979*x       - we divide both sides of the equation by (1.3335492227979) to get x
100/1.3335492227979=x
74.987858183584=x
x=74.987858183584

now we have:
15.44 is 74.987858183584% of 20.59