18.44 is what percent of 20.44 - 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 20.44 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 20.44, so we can write it down as 100%=20.44.
4. We know, that x% equals 18.44 of the output value, so we can write it down as x%=18.44.
5. Now we have two simple equations:
1) 100%=20.44
2) x%=18.44
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%=20.44/18.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 18.44 is what percent of 20.44

100%/x%=20.44/18.44
(100/x)*x=(20.44/18.44)*x       - we multiply both sides of the equation by x
100=1.1084598698482*x       - we divide both sides of the equation by (1.1084598698482) to get x
100/1.1084598698482=x
90.215264187867=x
x=90.215264187867

now we have:
18.44 is 90.215264187867% of 20.44