Business Acquisitions, Goodwill and Acquired Intangible Assets (Acquired Intangible Assets) (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019
Schedule of Intangible Assets, Including Goodwill [Line Items]
Goodwill	$ 7,986.7	$ 2,150.0	$ 2,050.5
Weighted average useful life in years	8 years 8 months 12 days
Proprietary technology
Schedule of Intangible Assets, Including Goodwill [Line Items]
Weighted average useful life in years	8 years 1 month 6 days
Customer list/relationships
Schedule of Intangible Assets, Including Goodwill [Line Items]
Weighted average useful life in years	11 years 2 months 12 days
FLIR
Schedule of Intangible Assets, Including Goodwill [Line Items]
Intangibles subject to amortization	$ 1,805.0
Total acquired intangible assets	2,490.0
Goodwill	$ 5,905.5
Weighted average useful life in years	10 years 10 months 24 days
FLIR | Trademarks
Schedule of Intangible Assets, Including Goodwill [Line Items]
Intangible assets not subject to amortization	$ 685.0
FLIR | Proprietary technology
Schedule of Intangible Assets, Including Goodwill [Line Items]
Intangibles subject to amortization	$ 1,355.0
Weighted average useful life in years	9 years 8 months 12 days
FLIR | Customer list/relationships
Schedule of Intangible Assets, Including Goodwill [Line Items]
Intangibles subject to amortization	$ 450.0
Weighted average useful life in years	14 years 4 months 24 days