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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
Jan. 03, 2020
Dec. 28, 2018
Dec. 29, 2017
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]      
Unallocated Corporate Expenses $ (1,405.0) $ (1,360.3) $ (1,141.9)
Acquired deferred revenue adjustment (7.0) (23.6) (2.8)
Restructuring Charges (27.9) (8.7) (10.5)
Amortization of purchased intangible assets (167.8) (179.6) (148.8)
Stock-based Compensation (75.0) (76.9) (64.8)
Amortization of acquisition-related inventory set-up 0.0 (0.2) (2.8)
Acquisition and divestiture items (20.5) (38.9) (7.4)
Amortization of acquired capitalized commissions 6.3 4.7 1.3
Consolidated Operating income 375.9 320.7 235.7
Non-operating income (expense), net (31.1) (42.7) 12.5
Consolidated Income Before Taxes 344.8 278.0 248.2
Operating Segments [Member]      
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]      
Consolidated Operating income 747.1 734.6 558.3
Corporate, Non-Segment [Member]      
Segment Reporting, Reconciling Item for Operating Profit (Loss) from Segment to Consolidated [Line Items]      
Unallocated Corporate Expenses [1] $ (79.3) $ (90.7) $ (86.8)
[1] Unallocated corporate expense includes general corporate expense.