http://leagueoflegends.wikia.com/wiki/Magic_resistance
Tl;dr: Each point of Armour/MR reduces incoming damage by a percentage, but it's not as simple as 1 point = 1%. The more you already have, the less percentage reduction you get for stacking more. For example:
25 Armour/MR = 20%
100 Armour/MR = 50%
150 Armour/MR = 60%
300 Armour/MR = 75%
If you hover over your Armour or MR while playing, the tooltip will actually tell you what percentage of damage you are currently blocking.
Penetration works exactly the way you think it does.
Tl;dr: Each point of Armour/MR reduces incoming damage by a percentage, but it's not as simple as 1 point = 1%. The more you already have, the less percentage reduction you get for stacking more. For example:
25 Armour/MR = 20%
100 Armour/MR = 50%
150 Armour/MR = 60%
300 Armour/MR = 75%
If you hover over your Armour or MR while playing, the tooltip will actually tell you what percentage of damage you are currently blocking.
Penetration works exactly the way you think it does.
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