19.82 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 19.82 of the output value, so we can write it down as x%=19.82.
5. Now we have two simple equations:
1) 100%=20.44
2) x%=19.82
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%=20.44/19.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 19.82 is what percent of 20.44

100%/x%=20.44/19.82
(100/x)*x=(20.44/19.82)*x       - we multiply both sides of the equation by x
100=1.0312815338042*x       - we divide both sides of the equation by (1.0312815338042) to get x
100/1.0312815338042=x
96.966731898239=x
x=96.966731898239

now we have:
19.82 is 96.966731898239% of 20.44