Base Military Efficiency = ( 33 + 67 * ( Effective Wage Rate / 100 ) 0.25 ) * Ruby Dragon * Multi-Attack Protection Bonus
Effective Wage Rate Formula = (Final Wage Rate - Previous Wage Rate)* 0.05 - Previous Wage Rate
Change in Effective Wage Rate = 0.05 * (Wage Rate Paid - Effective Wage Rate)
OME = (Base Military Efficiency + Training Grounds Bonus + Honor Bonus) * Science Bonus * Race Bonus * Personality Bonus * Fanaticism * Bloodlust * Ritual
DME = (Base Military Efficiency + Forts Bonus + Honor Bonus) * Science Bonus * Race Bonus * Personality Bonus * Minor Protection * Greater Protection * Fanaticism * Plague * Ritual
Raw Off = (Soldiers * (Soldier Off value + Aggression)) + (Offensive Specs * Off Spec Attack value) + (Elites * Elite Attack value) + (Horses * War Horse Attack value) + [(Mercs * Attack Value + Prisoners * Attack Value)]
Mod Off = Raw Offense * (OME + General Bonus)
| Condition | Modifier |
| OME | check your Military Advisor |
| General Bonus | +5% per additional general over 1 |
Attack Time = Base Attack Time * Race Bonus * Personality Bonus * Barracks Bonus * Quick Feet * Attack Type * War * NW Mod * Ritual Bonus
The base attack time is 14 hours. This is the value all calculations are based upon.
| Location | Intra KD | Different KD |
| Attack Time | 7 | 14 |
To guarantee a win, you must send Mod Offense that is at least 1 greater than the defender’s Mod Defense.
On Conquest attacks, the minimum Offense to win is 51% of the opponents Defense.
For Attacks that target and capture Resources (Traditional March, Conquest, Plunder, Learn), the Gains are calculated as follows:
Gains = Target Resource * Attack Type * RPNW * RKNW * Multi-Attack Protection * Race Modifier * Personality Modifier * Castles Protection * Relations Modifier * Stance Modifier * Siege Science * Emerald Dragon * Attack Time Adjustment Factor * Ritual Bonus * Anonymity * Mist
Relative Province Networth (rpnw) = Targets Networth / Self Networth
Province Networth Factor = DEPEND ( rpnw ) :
rpnw < 0.567 = 0
0.567 < rpnw < 0.9 = 3 * rpnw - 1.7
0.9 < rpnw < 1.1 = 1
1.1 < rpnw < 1.6 = -2 * rpnw + 3.2
rpnw > 1.6 = 0
Relative Kingdom Networth (rknw) = Target Kingdom Average Prov. Networth / Self Kingdom Average Prov. Networth
Kingdom Networth Factor = DEPEND ( rknw ) :
rknw < 0.5 = 0.8
0.5 < rknw < 0.9 = rknw / 2 + 0.55
rknw > 0.9 = 1
NOTE: RKNW is based on the Average Province size of the Kingdom.
Adding or subtracting hours modifies the Gains (based on your Attack Time), as follows:
| Hours | Gains Modifier % |
| -2 | (-2 / base attack time) * 160% |
| -1 | (-1 / base attack time) * 150% |
| +1 | (1 / base attack time) * 80% |
| +2 | (2 / base attack time) * 70% |
| +3 | (3 / base attack time) * 60% |
| +4 | (4 / base attack time) * 50% |
Base gains are 12% and are capped at 20% of your Acres or your opponent’s Acres, whichever is smaller.
Will return 50% of the Acres lost in the attack. Unaffected by Gains modifiers. Inflicts 15% increased Military Casualties.
Base gains are 50% gold, 60% food and 60% runes. Max gains is 1.75x base (67.5% gold, 81% runes/food). Military Casualties on Plunder defense are reduced by 50%.
Steals ~2% of target’s allocated Books, plus ~20% of the target’s unallocated Books. Military Casualties on Learn defense are reduced by 50%. During War, Learn temporarily removes ~30% of total allocated Science Books, these return over 48 Ticks.
Destroys a portion (~5%) of the target’s Land. In War, this attack only destroys ~30% Buildings.
Base gains are 6.8% land for a full hit, Gains are decreased in proportion to the relative Offense sent vs. target’s Defense. Available only within 5% Net Worth range outside Hostile/War, unless attacker has access to Enhanced Conquest.
Base gains are 9.5% peasants, 7.5% Thieves and 5% Wizards. Efficiency increased roughly 3x during War.
Raw Defense = (Defense Specs * Def Spec Points) + (Elites at Home * Elite's Defense) + (Soldiers * Sold Def Points * Aggression) + Townwatch
Mod Defense = MAX ( Raw Defense * Defensive Military Efficiency , Land )
| Modifier Type | Active | Otherwise |
| Def Spec Points | Variable | 10 |
| Elite Defense | Variable | |
| Town Watch | Peasants / 5 | 0 |
That is, if you should send every single Elite and General out, and release your Defense Specialists, an opponent would still need to send 1 Offense point per Acre to conduct a successful attack against you. This does not apply to Intra-Kingdom attacks.
Base Military Casualties are 6.5%-8.5% on Offense, 5%-6.5% on Defense.
| Modifier | Type | Effect |
| Building: Hospitals | All Military Casualties | Varies |
| Science: Resilience | All Military Casualties | Varies |
| Multi-Attack Protection | Military Casualties | Varies |
| Attack: Learn | Defensive Military Casualties | -50% |
| Attack: Plunder | Defensive Military Casualties | -50% |
| Race: Orc | All Military Casualties | +15% |
| Ritual: Stalwart | All Military Casualties | -20% |
| Ritual: Onslaught | Offensive Military Casualties inflicted | +15% |
| Spell: Pitfalls | Defensive Military Casualties | +15% |
| Spell: Bloodlust | Offensive Military Casualties inflicted, Self Military Casualties | +15% |
| Spell: Salvation | All Military Casualties | -15% |
| Spell: Wrath | Enemy Military Casualties | +20% |
| Operation: Bribe Generals | All Military Casualties | 20% chance for +15% |
| Emerald Dragon | All Military Casualties | +20% |
| The Utopia Guide | |
|---|---|
| Introduction | Getting Started with Utopia • Creating a province • Race & Personality |
| The Menus | Throne • Kingdom • News Explore • Growth • Science • Military Mystics • Thievery • War Room • Aid • Dragon • Ritual • Stances Mail & Forums Politics • Relations • Rankings • Preferences |
| Advanced | MunkBot • Invitations • Reservations • Utopia • Province • World of Legends • Formulas |
| Rules | Game Rules |