Goodwill and Intangible Assets (Schedule of Gross Intangibles) (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 02, 2021	Dec. 28, 2019
Finite-lived Intangible Assets [Roll Forward]
Translation Adjustments	$ 21.8
Indefinite-lived Intangible Assets [Roll Forward]
Total Gross Intangibles	1,032.0	$ 1,010.2
Non-Amortizable Trade Name
Indefinite-lived Intangible Assets [Roll Forward]
Non-amortizable Trade Names, beginning of period	121.6
Non-amortizable Trade Names, Translation Adjustments	1.2
Non-amortizable Trade Names, end of period	$ 122.8
Customer Relationships
Finite-Lived Intangible Assets [Line Items]
Weighted Average Amortization Period (Years)	17 years
Finite-lived Intangible Assets [Roll Forward]
Intangible assets, beginning of period	$ 692.1
Translation Adjustments	16.5
Intangible assets, end of period	$ 708.6
Technology
Finite-Lived Intangible Assets [Line Items]
Weighted Average Amortization Period (Years)	14 years
Finite-lived Intangible Assets [Roll Forward]
Intangible assets, beginning of period	$ 144.0
Translation Adjustments	2.3
Intangible assets, end of period	$ 146.3
Trademarks
Finite-Lived Intangible Assets [Line Items]
Weighted Average Amortization Period (Years)	14 years
Finite-lived Intangible Assets [Roll Forward]
Intangible assets, beginning of period	$ 35.9
Translation Adjustments	1.8
Intangible assets, end of period	$ 37.7
Patent and Engineering Drawings
Finite-Lived Intangible Assets [Line Items]
Weighted Average Amortization Period (Years)	5 years
Finite-lived Intangible Assets [Roll Forward]
Intangible assets, beginning of period	$ 16.6
Translation Adjustments	0.0
Intangible assets, end of period	16.6
Finite-Lived Intangible Assets
Finite-lived Intangible Assets [Roll Forward]
Intangible assets, beginning of period	888.6
Translation Adjustments	20.6
Intangible assets, end of period	$ 909.2