Goodwill and Intangible Assets (Schedule of Accumulated Amortization) (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 02, 2021	Dec. 28, 2019	Dec. 29, 2018
Finite-lived Intangible Assets [Roll Forward]
Accumulated Amortization Beginning balance	$ 443.0
Amortization	47.3	$ 50.3	$ 54.9
Translation Adjustments	11.4
Accumulated Amortization, Ending balance	501.7	443.0
Intangible Assets, Net of Amortization	530.3	567.2
Customer Relationships
Finite-lived Intangible Assets [Roll Forward]
Accumulated Amortization Beginning balance	302.4
Amortization	38.6
Translation Adjustments	8.4
Accumulated Amortization, Ending balance	349.4	302.4
Technology
Finite-lived Intangible Assets [Roll Forward]
Accumulated Amortization Beginning balance	99.0
Amortization	7.1
Translation Adjustments	1.9
Accumulated Amortization, Ending balance	108.0	99.0
Trademarks
Finite-lived Intangible Assets [Roll Forward]
Accumulated Amortization Beginning balance	25.0
Amortization	1.6
Translation Adjustments	1.1
Accumulated Amortization, Ending balance	27.7	25.0
Patent and Engineering Drawings
Finite-lived Intangible Assets [Roll Forward]
Accumulated Amortization Beginning balance	16.6
Amortization	0.0
Translation Adjustments	0.0
Accumulated Amortization, Ending balance	$ 16.6	$ 16.6