Entering in Progress--Already Complete

[Leet]

I edited the post as you were quoting lol... It means the number of Bosses downed.
For AK:
0/3 - They may be wiping on first boss (probably getting Plainscracked... I'd love to see if some group of Relic+1/Allagan wielders could kill that Megalith Monolith!)
1/3 - They beat the first boss, but can't meet the DPS Check for the Wall.
2/3 - They beat the wall, but Bone Dragon's farts are killing them.
3/3 - The Dungeon is complete.

It actually shows up as 1/4 2/4 etc for whatever reason not 3. Although there are clearly only 3 bosses to count. Unless there is some hidden boss nobody knows about.