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Goodwill and Intangible Assets (Narrative) (Details) - USD ($) $ in Millions	3 Months Ended		12 Months Ended
	Jan. 01, 2022	Mar. 30, 2019	Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019
Goodwill [Line Items]
Goodwill Impairment	$ 33.0		$ 33.0	$ 10.5	$ 0.0
Goodwill	4,039.2		4,039.2	1,518.2	1,501.3
Amortization			77.4	$ 47.3	$ 50.3
Global Industrial Motors
Goodwill [Line Items]
Goodwill	$ 80.1		80.1
Customer Relationships
Goodwill [Line Items]
Amortization			$ 60.7
Customer Relationships \| Hermetic Climate \| Disposal Group, Disposed of by Sale, Not Discontinued Operations
Goodwill [Line Items]
Impairment of intangible assets, finite-lived		$ 4.9