Critical Strike Chance Miscalculation?

Trying to understand the calculation of critics, I came across a problem.

From what I understand, the chance of melee critical damage is based on the overall chance of critical plus values ​​that add and increase.

In the images below I demonstrate my base values ​​without equipment, which are 5% Global and Melee; and with a equipment that adds a 5% chance of melee critical, the status values ​​correspond to the expected 10% chance of melee critical.
However, with a equipment that adds a 5% chance of melee critical and increases the global chance of critical by 89%, I expected to get a 9% chance of a global critic, which I did, and a 14% chance of melee critical ( 9% of the global plus 5% of the equipment), but the result is 19%!?

I have no current passives or other sources of buff. It’s a clean level 62 beastmaster character.

Where’s the error?

https://imgur.com/a/hSUVMpG

The weapon, presumably a polearm, that added +5% melee crit is adding base melee crit, so the calculation is (5% + 5%) * 1.89 = 18.9% (rounded up to 19%).

Yes, but It adds 89% to global, not melee, so It should be ((5x1.89)+5) = 14

Ok. On second thought I think I understand now. The global critical strike chance is added and increase melee and spell along with specific increases, rather than as a base value. That way the numbers make sense. Thank you.

First it adds any relevant base values together, which is why it added the 5% from the polearm to just your melee crit line since that’s base melee crit chance, had it been a Raider Axe the 5% would have been added to all lines.

Then it applies any increased crit chance amounts to the relevant lines. That’s why your throwing and spell crit chance lines are 9% (5 * 1.89 = 9.45 rounded down to 9 for display purposes) but your melee crit chance is (5+5) * 1.89 = 18.9% rounded up for display purposes.

If you had equipped a catalyst off hand such as an Unread Scroll with 5% base spell crit and 89% increased crit instead, you spell crit chance would have been 19% instead and the other lines would have been 9%. If the off-hand had 20% increased spell crit chance (the lowest t1 roll you can get) as well, the spell crit line would be (5% + 5%) * (1 + 89% + 20%) = 20.9% rounded up to 21%.

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