My Arctic Orange attack bonus calculation:
AO provides 150% damage XX percent of the time. The percent is dependent on the AO level.
Attack bonus =AB
Total Attack Bonus with AO=TAB
AO%= xx % of the time for 150% damage
Total attack bonus=AB+0.5xAB x AO%
To understand this, assume the AO percent was 100% percent of the time you got 150% damage. This means that you get 150% of your current attack bonus in damage done. So your attack bonus with the AO is your attack bonus x 1.50, this is not an adder because the AO does 150% DAMAGE. Now assume the percent of time you got the 150% bonus was Zero, then your attack bonus is your normal AB.
Now take the percent into consideration means you only get the 150% damage xx% of the time.
So, for a percentage of your strikes you get your normal attack bonus and a percentage of your strikes you get the AO attack bonus. Add these together for your total attack boost.
Percent of time you get standard is (1-AO%)
Your standard attack is AB
Percent of time you get bonus AO attack is AO%
AO bonus attack is 150% x AB
We can sum the percentages of time for each attack amount to get the sum of your attack bonus all the time with an AO
Total Attack Bonus is then:
Standard Attack percent of total is = (1-AO%) x AB
AO bonus attack percent of total is= AO% x 1.50 x AB
Sum for 100% of time is:
TAB=(1-AO%) x AB + AO% x (1.50 x AB)
Simplify
TAB=AB -AB x AO% +ABx1.5xAO%
TAB= AB+AB x .5AO%
TAB=AB x (1+.5AO%)
Total Attack bonus with AO is: TAB=AB x (1+.5xAO%) or AB +( .5 x AB x AO%)
You can look at this as your standard attack pulse a bonus adder of: .5 x AB x AO%
Test with my assumptions to verify correctness:
0% of strikes = AB x (1+.5x0)= AB
100% of strikes = AB x (1+.5x1)= 1.5AB Looks correct
For me with 723 standard AB and AO of L95 (0.2835% of time get 150%)
My adder is (I used the second to last simplification so you can see how much the adder is for the AO)
723 + 723x0.50x0.2835
723 + 102.5 = 825.5
AO adds 102.5 points to my attack boost. Enough for about 2 or 3 more attrition, 102 percent is huge.
Another example
AB=400, AO is level 20, 8.75%
Total attack boost with AO
400+400x.5x.0875
400+17.5 = 417.5
Only adds 17.5 points, probably not enough for 1 more attrition
Let’s Double AB to 800 same AO .0875
TAB= 800+.5x800x.0875 = 800+35=835 maybe enough for another attrition.
One more AB 400, AO L50 15.03%
TAB=400+.5x400x.1503= 400+30 = 430 enough for 1 more attrition
Bottom line AO helps, it does provide FP but you need a big attack bonus and a high level AO for a significant difference. Since doing this calculation for the guild I’ve increased my AB to 853 and AO to Level 100(.3028)
TAB=853(1+.5x.3038)= 983 (130 additional from AO)
Edited 23 Dec 2022, changed percent to points, AO adder is points not percentage. Clarified summing portions of total. Added table to look-up adder for AO at different levels and with different attack boost.
Attack points adder with AO by level and attack boost