Reporting Segment And Geographic Information (Reconciliation Of The Company's Total Segment Gross Margin and Operating Income To Consolidated Income Before Income Taxes) (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 03, 2025	Dec. 29, 2023	Dec. 30, 2022
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Consolidated operating income	$ 460.7	$ 448.8	$ 510.9
Unallocated general corporate expenses	(1,935.6)	(1,884.0)	(1,594.7)
Amortization of purchased intangible assets	(199.0)	(212.3)	(131.6)
Acquisition / divestiture items	(81.6)	(72.4)	(32.8)
Stock-based compensation / deferred compensation	(163.5)	(151.1)	(112.0)
Restructuring and other costs	(32.4)	(50.1)	(54.2)
Total non-operating income (expense), net	1,545.2	(91.8)	58.2
Consolidated income before taxes	2,005.9	357.0	569.1
Segments Revenue
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Consolidated operating income	1,060.7	1,050.7	964.8
Non-Segment
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]
Unallocated general corporate expenses	$ (123.5)	$ (116.0)	$ (123.3)