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Collections are a way for you to organize kata so that you can create your own training routines. Every collection you create is public and automatically sharable with other warriors. After you have added a few kata to a collection you and others can train on the kata contained within the collection.
Get started now by creating a new collection.
You're implying the progress was equal to
0before the rank update. Are you sure that is the case ? It's likely that the progress was already at40, and then(40 + (8 * 8 * 10)) % 100 === 680 % 100 === 80.