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Income Taxes (Schedule of Unrecognized Tax Benefits Rollforward) (Details) - USD ($)
$ in Millions
12 Months Ended
Jan. 02, 2016
Jan. 03, 2015
Dec. 28, 2013
Unrecognized Tax Benefits [Roll Forward]      
Balance at beginning of year $ 328 $ 315 $ 314
Increases related to current year tax positions 48 67 74
Increases related to prior year tax positions 0 6 33
Increases related to positions assumed from Thoratec 7 0 0
Reductions related to prior year tax positions (24) (27) (16)
Reductions related to settlements / payments (16) (27) (90)
Expiration of the statute of limitations for the assessment of taxes (5) (6) 0
Balance at end of year $ 338 $ 328 $ 315