Income Taxes (Details 3) (USD $) In Millions, unless otherwise specified			12 Months Ended				12 Months Ended					12 Months Ended
	Dec. 28, 2012	Sep. 28, 2012	Sep. 28, 2012 2007 Tax Sharing Agreement	Sep. 30, 2011 2007 Tax Sharing Agreement	Sep. 24, 2010 2007 Tax Sharing Agreement	Sep. 28, 2012 2012 Tax Sharing Agreement	Sep. 28, 2012 Tyco International 2007 Tax Sharing Agreement	Sep. 28, 2012 Tyco International 2012 Tax Sharing Agreement	Sep. 28, 2012 Covidien 2007 Tax Sharing Agreement	Sep. 28, 2012 TE Connectivity 2007 Tax Sharing Agreement	Sep. 28, 2012 Pentair and ADT 2012 Tax Sharing Agreement	Sep. 28, 2012 ADT	Sep. 28, 2012 ADT 2012 Tax Sharing Agreement	Sep. 28, 2012 Pentair	Sep. 28, 2012 Pentair 2012 Tax Sharing Agreement	Sep. 28, 2012 Covidien and TE Connectivity
Tax Sharing Agreements and Other Income Tax Matters
Tax liability share percentage							27.00%	52.50%	42.00%	31.00%		58.00%	27.50%	42.00%	20.00%
Net cash payment per tax sharing agreement																$ 11
Total liability threshold under Tax Sharing Agreement						725		500			225
Pre - 2012 separation related tax liabilities			175
IRS penalties on intercompany stock transfers	21
Net receivable:
Prepaid expenses and other current assets			9	16
Other assets			66	73
Net receivable			75	89
Tax sharing agreement related liabilities:
Accrued and other current liabilities			(14)	(49)
Other liabilities			(394)	(387)		(71)
Tax sharing agreement related liabilities			(408)	(436)		(71)
Net liability			(333)	(347)		(71)
(Expense)/income			(4)	(7)	8
Unrecognized tax benefits that may be resolved in the next twelve months, low end of range
Unrecognized tax benefits that may be resolved in the next twelve months, high end of range		$ 30