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So if you have a dagger hit with a base damage chain of hits of 20, 20, 10 x5, 30 (120 damage) then with +10 power it becomes 30, 30, 20 x5, 40 (200 damage). If you have an axe that deals a damage chain of 40, 40, 80 (160 damage) then it becomes 50, 50, 90 (190 damage).
Because it's base damage your percentage modifiers should boost it as well. So with +100% damage your hit chain of 120 would be 240 damage and your powered-up hit chain of 200 damage would become 400.
For instance the special of the starting staff does 10 damage by default
If you get a 60% damage buff from Apollo each special would do 16 damage
Now if you got a 20 damage Poseidon buff it would deal 30 damage
Generally faster attacking weapons like flat damage more since % doesnt add much, but stuff like the axe likes % more.
Where do i find my base attack power. I am selecting a boon right now and I can look at my current booms and I can highlight my weapon, but it doesn't tell me how much damage my weapon does
The amount of damage that 80% damage adds is 0.8 times your weapon's base damage plus any power bonuses. If your weapon does 30 base damage with a hit, +80% damage adds 24 damage. It does not matter if you already have other effects boosting it; unless they affect the Power of the move, they don't change that the increase will be 24 damage.
Finding your weapon's base damage is best done by removing all Arcana cards and hitting Skelly, as mentioned. However, you also have to watch for bonuses from your aspect. For example, Medea gets +90% to the only way it can deal damage with an attack, but that's not part of its base damage and thus isn't boosted when you take a % core boon.
Honestly I was never much a fan of percentage based boons because of my favored weapons, but this seems to make them seem even weaker.
I agree with you completely. Beef. Give us more data. All the data. One of my suggestions in the forum was to add more utility to the training grounds such as being able to mix and match boons/hammers to experiment with boon configuration in a stress free sandbox environment. Rng plus stopping a run to record numbers is salty and not fun, but I have done it a fair amount just to have the sense of numbers I have now. Added with Songbird's info I was still only about 90% accurate and had some misconceptions of how the math was applied.
For the most part, this means that global damage boosts like Strength, Origination, Perfect Image, etc. boost the power of separate damage sources (like Blitz) more than % increase core boons, because you get those multipliers on both your base attack and your Blitz damage, while if you took a % increase, that additional damage doesn't get boosted. This is part of why Blitz tends to become absurdly strong as the game goes on. However, critical hits can favor % boons, provided they apply on your attacks/specials only and not all your hits. So Lethal Snare, for example, is much stronger with a %-based attack boon, and Thanatos axe favors a % increase on your attack slot if you plan on using your omega attack. (There's also a tendency for non-percentage boons to be based on hit count or disproportionately stronger on only one of the attack or special slots, so it's a bit more nuanced than that, but you get the idea.)