Each successive time you target the same body part in V.A.T.S., your chance-to-hit raises by +5%. So, if your first to-hit was 40%, 2nd would be 45%, 50%, etc. This can lead to very easy head-shots when teamed with other to-hit % boosters (Sniper, Commando, etc.)
Unlike other perks that give bonuses to your accuracy in V.A.T.S., such as Commando, Gunslinger and Sniper, the bonuses gained from Concentrated Fire are additive instead of multiplicative.
This perk is more effective with weapons that use few Action Points, so that you can fire many times and gain larger bonuses.
When queuing up shots, it seems to show an increase in each subsequent shot before you even fire, which would mean it ignores whether your shots actually hit and simply gives the accuracy anyway. It is not known how this perk actually functions, but testing does seem to show it to be more powerful than its description.
Accuracy can't be higher than 95%.
The final accuracy bonus for the last shot made does not apply to all of the shots made. The accuracy of each shot is based on the accuracy it had at the time you queued the shot.
(Fallout: New Vegas) Due to some perks and traits that can lower AP cost (Fast Shot, Math Wrath, etc.), using the AP reducing perks along with a weapon that has low AP like the All-American can result in very large bonuses for queued shots.
ps4xboxonepc In Fallout 4, the second rank of this perk does not work, although the first and third ranks do.[verified]
This is caused by the second rank incorrectly affecting the V.A.T.S. damage by 15% similar to rank 3 of the perk.
pc In Fallout: New Vegas the Ultimate Edition, if one has enough points in a skill, then on level up places enough to get the perk, one can go back and remove them from that skill and put it in another, still getting the perk that is grayed out by selecting done. [verification overdue]