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THink, how much damage will I do to infantry, horse, everything but tanks and such
Why soft attack and hard attack? Well, every division has a hardness score determined by how much of it is made up of armoured or protected vehicles (from trucks all the way up to superheavy tanks) and how well protected those vehicles are. When a unit attacks, its soft and hard attack scores are modified depending on the percentage of the opposing division which is hard and soft.
For example, let's say a division has 150 soft attack and 50 hard attack.
Attacking a division with 0% hardness.
(1 x 150) + (0 x 50) = 150 total attacks
Attacking a division with 40% hardness.
(0.6 x 150) + (0.4 x 50) = 110 total attacks
Attackin g a division with 80% hardness.
(0.2 x 150) + (0.8 x 50) = 70 total attacks
So as you can see, having lots of soft attack will make divisions very dangerous to low hardness divisions, but will not help them as much against high hardness divisions, which is why hardness is a good thing to have, since most divisions will have much higher soft attack than hard attack.
Bear in mind that it's not related to armor at all, only hardness. Basically, if a division's piercing score doesn't beat the armour score of a division it's attacking it will suffer significant combat penalties. But these are completely all or nothing, either piercing beats armour or it doesn't.