Lucky hit - up to x %

When is the lucky hit chance the stated %?
When is it at the lowest %?
What’s the lowest % relative to the max %?

Lucky hit chance % of affixes on items and skills is indicating on chance for effect of that lucky chance to occur per hit and lucky chance as affix without any effect is used to increase this chance. If you have 15% chance to slow and have 100% to lucky chance than lucky chance to slow is 30% because it was increased by 100% to lucky chance affix.

yes, but what are the factors in and behind “up to x% on lucky hit”?

also, it works the other way - 100% lucky hit means every hit is lucky, 15% chance on lucky hit will still be only 15% of the time you have a lucky hit (which is every hit) All Important Diablo 4 Terms Explained Fast - YouTube

I think it is just a misleading description, up to 5% means flat 5% chance if lucky hit was rolled.