Damage reduction is capped at 80%. If you are wearing all four pieces of armor, this occurs at 567 displayed armor rating. If you have 100 skill, all relevant armor perks, and Legendary equipment, you will need about 85 base armor to achieve this cap. This requires the Nightingale set for Light Armor (though Dragonscale comes close), and at least a Steel Plate set for Heavy Armor.
With the Lord stone, the required contribution for worn armor drops to about 74. This requires at least a Glass set for Light Armor, and at least a Dwarven set for Heavy Armor.
http://www.uesp.net/wiki/Skyrim:Armor