Armour

Old: Yueren 2021-09-26 19:53:05

New: Yueren 2022-01-13 17:29:18

OldNewDifferences
1313 Armour will only mitigate physical damage hits, not for elemental or chaos damage. If the [[Transcendence]] keystone is taken, armour mitigates elemental damage hits, but not physical.
1414
1515 ### Rule of thumb
16-- To prevent one third of damage, you need armour 5 times the damage (e.g. 500 armour for 100 damage)
17-- To prevent half of damage, you need armour 10 times the damage (e.g. 1000 armour for 100 damage)
18-- To prevent two thirds of damage, you need armour 20 times the damage (e.g. 2000 armour for 100 damage)
19-- To prevent three quarters of damage, you need armour 30 times the damage (e.g. 3000 armour for 100 damage)
20-- To prevent 90% of damage, you need armour 90 times the damage (e.g. 9000 armour for 100 damage)
21-armour will never prevent more damage than its value divided by 10 (e.g. 1000 armour will never prevent more than 100 damage)
16+- To prevent one third of damage (33%), you need armour 2.5 times the damage (e.g. 250 armour for 100 damage)
17+- To prevent half of damage (50%), you need armour 5 times the damage (e.g. 500 armour for 100 damage)
18+- To prevent two thirds of damage (66%), you need armour 10 times the damage (e.g. 1000 armour for 100 damage)
19+- To prevent three quarters of damage (75%), you need armour 15 times the damage (e.g. 1500 armour for 100 damage)
20+- To prevent 90% of damage, you need armour 45 times the damage (e.g. 4500 armour for 100 damage)
21+- Armour will never prevent more damage than its value divided by 5 (e.g. 1000 armour will never prevent more than 200 damage)
2222
23-### Formulas
23+### Armour on monsters
24+Monsters also have armour values. The general amount of armour on monsters will increase as monster level increases, with monster types like stone golems and zombies having relatively high amounts of armour compared to hellions or sea witches. Boss monsters similarly increase in armour rating throughout the campaign. For example, [[Malachai, The Nightmare]] has 783 armour, while early map bosses such as [[Piety the Empyrean]] can have around 7000 armour depending on map level. Endgame bosses such as [[The Elder]] or [[Sirus, Awakener of Worlds]] have over 20000 and 32000 armour respectively.
25+
26+## Formulas
2427 The amount of physical damage reduction is a function of armour rating and the physical damage taken.
2528
2629 ### Relative Physical Damage Reduction (Base Formula)
2730 This is the base formula all other formulas are based upon. It is used to calculate the <span class="explicitMod">#% additional Physical Damage Reduction when Hit</span> factor, i.e. the percentage by which the physical damage is mitigated.
2831
29-![](https://wikimedia.org/api/rest_v1/media/math/render/png/a2070d64eb84186b7daeb0ad85d506da9e77fe5b)
32+![](https://wikimedia.org/api/rest_v1/media/math/render/svg/732daa0b8660491d9a1212c31643170b035150cd)
3033
3134 where A is the defender's armour rating and Draw is the raw physical damage.
3235
3336 ### Required Armour Rating
3437 To calculate the armour rating you need to mitigate a given amount of Physical Damage at specific ratio, you can use this formula:
3538
36-![](https://wikimedia.org/api/rest_v1/media/math/render/png/185f3d0f5ff657139d76421fda396728e067dc15)
39+![](https://wikimedia.org/api/rest_v1/media/math/render/svg/e9dfb04297c6cefe02768387064ed4c015c1d471)
3740
3841 ### Reverse Physical Damage
3942 You can also calculate the raw physical damage that would have resulted for a given Physical Damage Reduction and Armour rating:
4043
41-![](https://wikimedia.org/api/rest_v1/media/math/render/png/2a6e3efba51fbf5757a6114539142a1d992de72a)
44+![](https://wikimedia.org/api/rest_v1/media/math/render/svg/f67fc7ca6b1b6a495fe32f6e4345f20cf4b08987)
4245
4346 ### Resulting Physical Damage
4447 To calculate the net physical damage (i.e. the damage after damage reduction, the following formula can be used:
4548
46-![](https://wikimedia.org/api/rest_v1/media/math/render/png/efe1afc6ade2b831bf87de0b1ef5372aa2d3ef9d)
49+![](https://wikimedia.org/api/rest_v1/media/math/render/svg/f50510e634d3d1729ad7c42ba5350a2e62ca8842)
4750
4851 Absolute Physical Damage Reduction
4952 Another way of looking at it is in terms of absolute physical damage reduction:
5053
51-![](https://wikimedia.org/api/rest_v1/media/math/render/png/cbb92dc23eb76beebf87f503c60e71cceba4500e)
54+![](https://wikimedia.org/api/rest_v1/media/math/render/svg/29b55287f850d839c895848754f82446e8d4e246)
5255
5356 ### Defense factor
5457
55-![](https://wikimedia.org/api/rest_v1/media/math/render/png/254641e6deab09498e9e958f142b6695380eb75a)
58+![](https://wikimedia.org/api/rest_v1/media/math/render/svg/52b943bad51e47993621d5e1bd3106edf862cdc9)
5659
5760 ### Examples
58-The plots below displays how much damage reduction occurs at different armour ratings and raw physical damage.
5961
60-![imgur](https://i.imgur.com/JFYngIX.png)
62+Mitigated Damage as a function of Incoming Damage and Armour Rating. Note that Rounding is usually decided in the monster's favor.
6163
62-<sup>Armour reduction at varying armour ratings and raw physical damage</sup>
64+![](https://www.poewiki.net/w/images/5/56/Armour-rawdmg4.png)
6365
64-![imgur](https://i.imgur.com/cdoYP44.png)
66+% Mitigated Damage as a function of Incoming Damage and Armour Rating
6567
66-<sup>Mitigated Damage as a function of Incoming Damage and Armour Rating. Note that Rounding is usually decided in the monster's favor.</sup>
67-
68-![imgur](https://i.imgur.com/BfcbyWF.png)
69-
70-<sup>% Mitigated Damage as a function of Incoming Damage and Armour Rating</sup>
71-
72-From the plot below we can further conclude:
73-
74-- If raw damage is much less than Armour / 10, raw damage has a near-quadratic effect on net damage. Equivalently, in this regime raw damage has a near-linear effect on net DPS if the raw DPS is held constant.
75-- If raw damage is much greater than Armour / 10, raw damage has a near-linear effect on net damage. Equivalently, in this regime raw damage has little effect on net DPS if the raw DPS is held constant.
76-- Against attacks of a fixed raw damage, armour has a linear effect on the number of attacks it takes to deplete a certain amount of hit points.
77-
78-![imgur](https://i.imgur.com/EA0woZk.png)
79-
68+![](https://www.poewiki.net/w/images/9/9a/Armour-percentdmg3.png)