Board Thread:The Last Sovereign Discussion/@comment-39120971-20190413130429/@comment-27713488-20190420035925

Simplifying a bit to leave out some things that aren't relevant to TLS, the formula looks like chance = state_rate * (1 + (user.luk - target.luk) * .001)

So say you have 100 LUK and you attack an enemy with a status that has 50% base chance to be inflicted. All enemies in TLS have 1 LUK (or did when I last checked) so the chance is .5 * (1 + (100 - 1) * .001) .5 * (1 + 99 * .001) .5 * (1 + .099) .5 * 1.099 .5495 It's about 10% difference of the base rate, in this case about 5% absolute rate. If the enemy attacks you, the user and target LUK are switched, so it comes out to the same amount of change in the opposite direction.

The upshot is that every 100 points of LUK on a character shifts the infliction rate of harmful states and debuffs by about 10% of the base rate, in the charactor's favor.

Furthermore, since no enemy will ever have more LUK than your party, you can safely reduce LUK to 1 without worrying it will affect your 100% rate status infliction moves such as Unified Strike.

Overall, LUK has a pretty minor effect and I don't really think about it when picking equipment unless the difference is huge.