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Reportable Segments (Net sales to external customers and long-lived assets) (Details) (USD $)
In Millions, unless otherwise specified
3 Months Ended 12 Months Ended
Jan. 03, 2015
Sep. 27, 2014
Jun. 28, 2014
Mar. 29, 2014
Dec. 28, 2013
Sep. 28, 2013
Jun. 29, 2013
Mar. 30, 2013
Jan. 03, 2015
Dec. 28, 2013
Dec. 29, 2012
Net sales $ 3,514us-gaap_SalesRevenueGoodsNet $ 3,639us-gaap_SalesRevenueGoodsNet $ 3,685us-gaap_SalesRevenueGoodsNet $ 3,742us-gaap_SalesRevenueGoodsNet $ 3,501us-gaap_SalesRevenueGoodsNet $ 3,716us-gaap_SalesRevenueGoodsNet $ 3,714us-gaap_SalesRevenueGoodsNet $ 3,861us-gaap_SalesRevenueGoodsNet $ 14,580us-gaap_SalesRevenueGoodsNet $ 14,792us-gaap_SalesRevenueGoodsNet $ 14,197us-gaap_SalesRevenueGoodsNet
Property, net 3,769us-gaap_PropertyPlantAndEquipmentNet       3,856us-gaap_PropertyPlantAndEquipmentNet       3,769us-gaap_PropertyPlantAndEquipmentNet 3,856us-gaap_PropertyPlantAndEquipmentNet 3,782us-gaap_PropertyPlantAndEquipmentNet
United States [Member]                      
Net sales                 8,876us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementGeographicalAxis
= k_UnitedStatesMember
9,060us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementGeographicalAxis
= k_UnitedStatesMember
8,875us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementGeographicalAxis
= k_UnitedStatesMember
Property, net 2,283us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementGeographicalAxis
= k_UnitedStatesMember
      2,343us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementGeographicalAxis
= k_UnitedStatesMember
      2,283us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementGeographicalAxis
= k_UnitedStatesMember
2,343us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementGeographicalAxis
= k_UnitedStatesMember
2,427us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementGeographicalAxis
= k_UnitedStatesMember
All Other Countries [Member]                      
Net sales                 5,704us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementGeographicalAxis
= k_AllOtherCountriesMember
5,732us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementGeographicalAxis
= k_AllOtherCountriesMember
5,322us-gaap_SalesRevenueGoodsNet
/ us-gaap_StatementGeographicalAxis
= k_AllOtherCountriesMember
Property, net $ 1,486us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementGeographicalAxis
= k_AllOtherCountriesMember
      $ 1,513us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementGeographicalAxis
= k_AllOtherCountriesMember
      $ 1,486us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementGeographicalAxis
= k_AllOtherCountriesMember
$ 1,513us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementGeographicalAxis
= k_AllOtherCountriesMember
$ 1,355us-gaap_PropertyPlantAndEquipmentNet
/ us-gaap_StatementGeographicalAxis
= k_AllOtherCountriesMember