Question about damage conversion scaling

Been trying to do some maths about the tree and have some questions about damage scaling concerning projectiles.

Let's say I have a 100 physical damage bow with 100% physical damage increase, 100% projectile damage increase, 100% increased elemental damage with weapons and I'm running lv20 hatred. This damage calculation is this right?

100*3 = 300 physical damage

30% of 300 = 100 cold damage

Does that cold damage scale again off the 100% projectile damage and turn into 200 cold damage?
Or does it scale up to 300 becuase of elemental with weapons and projectile? Or just wpn ele?

Edit: Added some more factors.

Edit2: Looked around some...so the hatred conversion happens before all increases...then it would be:

100 phys
30 cold

100*3=300
30*4=120

Thanks for confirming

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Vipermagi wrote:

Damage Based On, then Conversion, then Damage multipliers.
Converted Damage benefits from modifiers to the source type.

100 Phys, 40% Phys as Cold
100 * 0.4 = 40 base Cold Damage
40 * (1 + (100/100) + (100/100) + (100/100)) = 40 * 4 = 160 Cold.

With 30% (which is tricky to acquire), it'd be 120 Cold yes :P

Sorry to come back to this but something's still making me not fully understand. I can understand that the conversion happens first, but what I want to know is, since the converted damage benefits from modifiers to the original source type, does proj damage double dip?

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Vipermagi wrote:

How could it? There's only one phase where it can apply. A modifier either does or does not apply.

Ahhh, yeah youre right, woops.