Business Acquisitions, Goodwill and Acquired Intangible Assets (Acquired Intangible Assets) (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 03, 2021	Dec. 29, 2019	Dec. 30, 2018
Schedule of Intangible Assets, Including Goodwill [Line Items]
Goodwill	$ 2,150.0	$ 2,050.5	$ 1,735.2
Weighted average useful life in years	5 years 9 months 18 days
Proprietary technology
Schedule of Intangible Assets, Including Goodwill [Line Items]
Weighted average useful life in years	5 years 9 months 18 days
Customer list/relationships
Schedule of Intangible Assets, Including Goodwill [Line Items]
Weighted average useful life in years	5 years 7 months 6 days
Trademarks
Schedule of Intangible Assets, Including Goodwill [Line Items]
Weighted average useful life in years	6 years 1 month 6 days
OakGate Technology, Inc.
Schedule of Intangible Assets, Including Goodwill [Line Items]
Intangibles subject to amortization	$ 7.0
Goodwill	$ 16.9
Weighted average useful life in years	7 years 3 months 18 days
OakGate Technology, Inc. | Proprietary technology
Schedule of Intangible Assets, Including Goodwill [Line Items]
Intangibles subject to amortization	$ 5.5
Weighted average useful life in years	7 years
OakGate Technology, Inc. | Customer list/relationships
Schedule of Intangible Assets, Including Goodwill [Line Items]
Intangibles subject to amortization	$ 1.2
Weighted average useful life in years	10 years
OakGate Technology, Inc. | Trademarks
Schedule of Intangible Assets, Including Goodwill [Line Items]
Intangibles subject to amortization	$ 0.3
Weighted average useful life in years	3 years