The "odds" may be expressed as a ratio between the chances in favor of rain compared to the chances of no rain.
If the probability is 82%, that means 82 chances out of a total of 100 chances are in favor of rain.
Therefore, out of 100, there are 82 chances of rain and 18 chances of no rain (100-82).
The odds may then be expressed as 82:18 or can be reduced to 41:9 (dividing by 2).