Therefore, it is very common that attacker do not have much more than 90% defense bonus, although some players are known to have as much as 200% attack bonus.
More bonuses can result from other special buildings but these only apply to the attack value (not the defense value) of the attacking units. Since you get a value from the hover that doesn't have seem to have any randomness in it (he seems to have never found a case where a give ratio ever gave a reported damage range that was different from what he first found).The attacker receives bonuses for attack and defense for his attacking units from the s tatue of Zeus, cathedral of Aachen and the Caste Del Monte. The random factor is which of the values in the range is chosen. For example 2/13 to 40/159 yields 0-1 damage, 40/33 to 50/31 yield 5-7 points, 60/37 to 48/29 give 6-7 points (which also means he never was able to test a ratio between 50/31 and 60/37) to determine which value that would give. If you look at the later sheet in the tool, there is a table of damage range verse ratios.
My understanding is the tool was built by carefully recording this value for a very large number of battles where they knew the base attack and defense values, were able to adjust them for the stated terrain and unit to unit adjustment, and came up with a listing of each given ratios yielded a specific damage range. The random factor is which of these number will occur, but there is NO random factor in determining the damage range. When you hover your mouse over an enemy unit (if you are on the Browser version), one bit of information you get it the damage range the attack will do, something like 4-6 or 5-7 pointe of damage.
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