Fallout 76 calculations: dmg vs DR - akarnokd/akarnokd-misc GitHub Wiki
In the game Fallout 76, dealing damage is affected by the Damage Reduction (DR) of the enemy, but this is not a flat reduction, rather a degressive curve: bigger DR reduces damage sub-linearly.
The formula is as follows:
Math.min(0.99, 0.5 * Math.pow((damage / dr), 0.366)) * damage
It depends on the damage to be dealt, the DR of the target and a power function close to cube root. The effect is that low damage are disproportionately ineffective against high DR enemies.
There exist perks and effects that can reduce the DR (so-called anti-armor modifiers) of a target or increase the damage output per hit.
Multiple anti-armor modifiers stack via remainder multiplication instead of additive. For example, a 50% Anti-armor effect leaves half the DR. Then a 45% extra armor ignore leaves 55% of that 50%:
1 - (1 - 0.5) * (1 - 0.45) = 0.725
That is, 72.5% of the original DR is ignored instead of 95%. The ignore percentage is capped at 90% anyway. The best possible in-game ignore is from Anti-armor (50%) + Incisor (75%) with a total of 87.5% ignored.
The following tables try to summarize the cross-effects of these:
Minigun
Base damage: 25. Possible DR reductions: Stabilized Perk 45%, Anti-armor effect 50%. Combined: 72.5%
| Base DR | Base | Stabilized | AA + St | Increase |
|---|---|---|---|---|
| 25 | 12.5 | 15.55 | 20.04 | 60.3% |
| 50 | 9.69 | 12.07 | 15.56 | 60.6% |
| 75 | 8.36 | 10.4 | 13.41 | 60.4% |
| 100 | 7.52 | 9.37 | 12.07 | 60.5% |
| 150 | 6.48 | 8.07 | 10.4 | 60.5% |
| 200 | 5.84 | 7.27 | 9.37 | 60.4% |
| 300 | 5.04 | 6.26 | 8.07 | 60.1% |
Assuming soloing the end-boss, the Scorchbeast Queen with DR 300 and 48.000 health total, it would take 9,523 rounds at base and 5,947 at best to kill her (assuming every bullet hits).
The base damage can be further improved via Heavy Gunner perks (+60% damage), Bloody mess (+15% damage) and Adrenaline (+60% damage) for a total of 194.4% more damage increase: 73,6:
| Base DR | Base | Stabilized | AA + St | Increase |
|---|---|---|---|---|
| 25 | 54.63 | 67.99 | 72.86 | 33.4% |
| 50 | 42.39 | 52.76 | 67.99 | 60,4% |
| 75 | 36.54 | 45.48 | 58.62 | 60,4% |
| 100 | 32.89 | 40.94 | 52.76 | 60,4% |
| 150 | 28.35 | 35.29 | 45.48 | 60,4% |
| 200 | 25.52 | 31.76 | 40.94 | 60,4% |
| 300 | 22.00 | 27.38 | 35.29 | 60,4% |
Scorchbeast Queen: 2,182 rounds at base and 1361 at best.
Note though that Adrenaline has to be popped up via kills as the effect lasts 30 seconds after each kill. Without Adrenaline, the numbers are: 4146 rounds at base and 2585 at best.
Gatling Gun
Base damage: 84. Possible DR reductions: Stabilized Perk 45%, Anti-armor effect 50%. Combined: 72.5%
| Base DR | Base | Stabilized | AA + St | Increase |
|---|---|---|---|---|
| 25 | 65.44 | 81.45 | 83.16 | 27% |
| 50 | 50.78 | 63.20 | 81.45 | 60.4% |
| 75 | 43.77 | 54.48 | 70.22 | 60.4% |
| 100 | 39.40 | 49.04 | 63.20 | 60.4% |
| 150 | 33.96 | 42.27 | 54.48 | 60.4% |
| 200 | 30.57 | 38.05 | 49.04 | 60.4% |
| 300 | 26.36 | 32.80 | 42.27 | 60,4% |
Scorchbeast Queen: 1822 rounds at base and 1136 at best.
The base damage can be further improved via Heavy Gunner perks (+60% damage), Bloody mess (+15% damage) and Adrenaline (+60% damage) for a total of 194.4% more damage increase: 247,3:
| Base DR | Base | Stabilized | AA + St | Increase |
|---|---|---|---|---|
| 25 | 244.82 | 244.82 | 244.82 | 0% |
| 50 | 221.96 | 244.82 | 244.82 | 10% |
| 75 | 191.35 | 238.15 | 244.82 | 27.9% |
| 100 | 172.23 | 214.35 | 244.82 | 42.1% |
| 150 | 148.47 | 184.79 | 238.15 | 60.4% |
| 200 | 133.63 | 166.32 | 214.35 | 60.4% |
| 300 | 115.21 | 143.38 | 184.79 | 60.4% |
Scorchbeast Queen: 416 rounds at base and 260 at best; w/o Adrenaline: 791 base, 493 best.
Super Sledge
Base damage: 150. Possible DR reductions: Incisor Perk 75%, Anti-armor effect 50%. Combined: 87.5%
| Base DR | Base | Incisor | AA + Inc | Increase |
|---|---|---|---|---|
| 25 | 144.49 | 148.5 | 148.5 | 2.7% |
| 50 | 112.12 | 148.5 | 148.5 | 32.4% |
| 75 | 96.66 | 148.5 | 148.5 | 53.6 |
| 100 | 86.99 | 144.49 | 148.5 | 70,7% |
| 150 | 75 | 124.75 | 148.5 | 98% |
| 200 | 67.5 | 112.12 | 144.49 | 114% |
| 300 | 58.19 | 96.65 | 124.57 | 113% |
Scorchbeast Queen: 825 swings at base and 386 at best.
The damage can be propped up via Slugger (+60%), Bloody mess (+15%) and Adrenaline (+60%) too: 441.6 damage.
| Base DR | Base | Incisor | AA + Inc | Increase |
|---|---|---|---|---|
| 25 | 437 | 437 | 437 | 0% |
| 50 | 437 | 437 | 437 | 0% |
| 75 | 422 | 437 | 437 | 3.5% |
| 100 | 380 | 437 | 437 | 15% |
| 150 | 327 | 437 | 437 | 33.6% |
| 200 | 295 | 437 | 437 | 48.1% |
| 300 | 254 | 422 | 437 | 75% |
Scorchbeast Queen: 188 swings at base and 109 at best; w/o Adrenaline: 358 base, 175 best.
Note that due to the cap in the formula, this deals the maximum possible damage against all the listed DRs.
Handmade Rifle
Base damage: 64. Possible DR reductions: Tank Killer Perk 36%, Anti-armor effect 50%. Perforating magazine: 40% Combined: 80.8%
| Base DR | Base | TK + Perf | AA + TK + Perf | Increase |
|---|---|---|---|---|
| 25 | 45.14 | 63.36 | 63.36 | 40.4% |
| 50 | 35.03 | 49.72 | 63.36 | 80.8% |
| 75 | 30.19 | 42.86 | 55.23 | 82.9% |
| 100 | 27.17 | 38.57 | 49.72 | 82.9% |
| 150 | 23.42 | 33.26 | 42.86 | 83.0% |
| 200 | 21.08 | 29.93 | 38.57 | 82.9% |
| 300 | 18.17 | 25.81 | 33.25 | 82.9% |
Scorchbeast Queen: 2641 rounds at base and 1444 at best.
The base damage can be further improved via Rifleman perks (+60% damage), Bloody mess (+15% damage) and Adrenaline (+60% damage) for a total of 194.4% more damage increase: 188.4:
| Base DR | Base | TK + Perf | AA + TK + Perf | Increase |
|---|---|---|---|---|
| 25 | 186.53 | 186.53 | 186.53 | 0% |
| 50 | 153.09 | 186.53 | 186.53 | 21.8% |
| 75 | 131.98 | 186.53 | 186.53 | 41.3% |
| 100 | 118.79 | 168.62 | 186.53 | 57.0% |
| 150 | 102.40 | 145.36 | 186.53 | 82.1% |
| 200 | 92.17 | 130.83 | 168.62 | 82.9% |
| 300 | 79.46 | 112.79 | 145.36 | 82.9% |
Scorchbeast Queen: 605 rounds at base and 330 at best; w/o Adrenaline: 1148 base, 627 best.
Summary
To summarize, the cost of killing the Scorchbeast Queen is:
| Weapon | Base Dmg | Base | Base + Max AA | Perks | Perks + Max AA | Perks + Adrenaline | Perks + Adrenaline + Max AA |
|---|---|---|---|---|---|---|---|
| Minigun | 25 | 9,523 | 5,947 | 4,146 | 2,585 | 2,182 | 1,361 |
| Gatling Gun | 84 | 1,822 | 1,136 | 791 | 493 | 416 | 260 |
| Super Sledge | 150 | 825 | 386 | 358 | 175 | 188 | 109 |
| Handmade | 64 | 2,641 | 1,444 | 1,148 | 627 | 605 | 330 |