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Say you a weapon with an affix that reads "40% Increased Critical Strike Chance", then your new critical strike chance is 5x1.4=7. So you now have 7% Critical Strike Chance.
There are some items that increase the base Critical Strike Chance value. These will look like "+5% Critical Strike Chance" and are additive with that default value of 5%. So you would now have 5+5=10, so 10%...and then if you still had that 40% Increased Critical Strike Chance then it'd be 10x1.4=14 or 14% Critical Strike Chance.
Lastly, all stats displayed in the Character screen are global stats, so stats that affect only a certain skill will not be shown here.
I do understand there are items that do much more (got a sword that did 31% and bumped it up to 7%) but why on Earth would you put any points into Precision?!?
First, just an addendum to the above quote: The character sheet will also display the impact of skill nodes that provide global stats or buffs when activated. These are often temporary so you'd have to have the character sheet open to see the changes.
But this is an important note. The character sheet ONLY shows your global stats. So if a skill has nodes that increase only that skills critical strike chance than you won't see that reflected in your character sheet because it's not a global increase to all your stats.
Until the Tooltip DPS arrives (which will likely display this type of information) you'll have to do the math yourself for each skill.
Thank you, I finally get it.
Mostly my problem was that I can't seem to get through my thick skull that the numbers in the Character Sheet reflect global values, whereas skills like Precision only affect the skill whose tree they are in.