This article covers information on the damage that can be delivered and received during battle. The formulas vary between games.
- 1 Overview
- 1.1 Shin Megami Tensei III: Nocturne
- 1.2 Megami Ibunroku Persona
- 1.3 Persona 5 / Royal
Magic Attack Peak
If user's level is below peak:
If user's level is at peak:
If user's level is above peak, but below 160:
If user's level is above 160:
Party Regular Attack
Party Physical Skills
Enemy Regular Attack
Enemy Physical Skills
Melee and Gun Attacks
If the user is inflicting a basic melee or gun attack, the related weapon and the user's Strength stat will be taken into account.
The formula multiplies the square root of the user's weapon power and the square root of the user's Strength stat by each-other. Whether the weapon is melee or ranged ultimately depends on the type of attack that is being used. The formula is as follows:
When the user's Strength stat is doubled, the modifier will be multiplied by approximately 1.4.
If the user's Strength stat is at the maximum of 99, the damage total of the attack will be nearly multiplied by x10 compared to a Strength stat of 1.
If the user is wielding a physical skill, the base power of the skill and the user's Strength stat are taken into consideration.
Similarly to Melee and Gun attacks, the base power of the skill is multiplied by the square root of the Strength stat. The formula is as follows:
If the user's Strength stat is at the maximum of 99, the damage total of the skill will be nearly multiplied by x10.
If the user is casting a magic skill, the power of the attack and the user's Magic stat will be used to calculate the attack power.
The calculation considers the base power of the attack first, which is the foundation of the formula, and then calculates a multiplier using the Magic stat. The formula is as follows:
Every 30 stat points boost the power of the attack by 100%:
- If the user's Magic is at 15, the base power will be multiplied by x1.5;
- If the user's Magic is at 30, the base power will be multiplied by x2;
- If the user's Magic is at 60, the base power will be multiplied by x3, and so on.
If the user's magic stat is at the maximum of 99, the damage total of the attack will be multiplied by x4.3.
After the total power of the attack has been calculated, it is divided against the square root of the sum of the target's armor defense and their Endurance stat. The formula is as follows:
If the defense and endurance stats are doubled, the damage taken will be multiplied by approximately x0.7.
There are several other criterion that factor in affecting the damage output of attacks besides the user's stats, weapon and attack power. These include Critical hits, Technical attacks, the effects of certain status status ailments, the target's elemental resistance or weakness against the attack, Baton Pass, temporary buff and debuff skills, certain passive skills and traits, whether the target is Guarding or not, the difficulty setting, and so on.
One unique factor in damage calculation is that certain types of Passive buff skills, such as Fire Boost, Fire Amp and Magic Ability, and the trait Pagan Allure, although they can stack with each-other to boost damage (via multiplication), the multiplier is capped to x2. However, the limitation only applies to said passive abilities, with the exception of Tyrant's Mind and the Country Maker trait, which ignore the limit.
One important factor would be the Level difference between the attacker and the opponent. There is no change if the attacker is 4 levels lower or 1 level higher than its target, but the attack power will gradually be multiplied over time, with 10 levels and higher being capped at x1.5. Otherwise, if the attacker is 15 levels lower or more, their power will be x0.004.
The same applies for the damage taken as well. There is no change if the target is 2 levels lower and 3 levels higher, but the defense will increase if the target's level is higher, where at 10 levels or more, the damage will be x0.004, but at 10 levels less, the damage will be multiplied to x1.5.
For the protagonist, the level calculated is his own, rather than the one of his equipped Persona.
The final calculation is randomized between numbers that are close to the default result. The variance is approximately 5% (can be 5% smaller or larger at most.)