Talk:Last Whisper/@comment-8053512-20140209172751/@comment-20804982-20140212223230

I am not sure exactly what you are calculating, but I don’t think you have it right for armor pen. Remember that the equation for armor damage reduction is:

BEFORE LW: 100/(100 + armor)

The % armor pen therefore only applies to the armor part, not to the whole denominator. For Last Whisper we have:

AFTER LW: 100/(100 + (armor * .65))

This is NOT the same as 100/((100 + armor) * .65), which it looks like is what you are doing. (This would be massively OP).

So to do the real numbers,

Damage after armor is:   100/(100 + armor)

Damage with last whisper is: 100/(100 + (armor * .65))

So the additional “true damage” that you are doing with LW (as a percent of AD) is:

(100/(100 + (armor * .65))) – (100/(100 + armor))

This value stays pretty constant around 10% within a range of 60-250 armor

If you are looking for the RATIO of damage before LW to damage after LW, you can do:

(100/(100 + (armor * .65))) / (100/(100 + armor))

This is the value that increases with more armor, because even though you are doing about the same extra damage to the tank as you are to the squishy, it is *relatively* more given the tiny amount you were originally doing to the tank.