Reporting Segment And Geographic Information (Reconciliation Of The Company's Consolidated Segment Operating Income To Consolidated Income Before Income Taxes) (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2021	Jan. 01, 2021	Jan. 03, 2020
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Consolidated operating income	$ 561.0	$ 419.8	$ 375.9
Unallocated general corporate expenses	(1,473.7)	(1,335.1)	(1,405.0)
Purchase accounting adjustments	(134.5)	(156.6)	(168.5)
Acquisition / divestiture items	(21.8)	(21.4)	(20.5)
Stock-based compensation / deferred compensation	(128.6)	(90.4)	(81.2)
Restructuring and other costs	(11.1)	(31.4)	(27.9)
Total non-operating income (expense), net	13.6	(24.8)	(31.1)
Consolidated income before taxes	574.6	395.0	344.8
Segments Revenue
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Consolidated operating income	963.2	793.6	747.1
Non-Segment
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Unallocated general corporate expenses	$ (106.2)	$ (74.0)	$ (73.1)