Comprehensive Income, Accumulated Other Comprehensive Loss, Net of Related Tax (Details) - USD ($) $ in Millions		3 Months Ended						9 Months Ended
		Oct. 02, 2022	Jul. 03, 2022	Apr. 03, 2022	Oct. 03, 2021	Jul. 04, 2021	Apr. 04, 2021	Oct. 02, 2022	Oct. 03, 2021
Components of Accumulated Other Comprehensive Loss, Net of Tax [Roll Forward]
Balance at beginning of period	[1]			$ 1,539.3				$ 1,539.3
Total other comprehensive loss, net of tax		$ (44.0)	$ (42.8)	(3.9)	$ (10.1)	$ 5.3	$ (21.5)	(90.8)	$ (26.3)
Balance at end of period	[2]	1,502.0						1,502.0
Accumulated Other Comprehensive Loss [Member]
Components of Accumulated Other Comprehensive Loss, Net of Tax [Roll Forward]
Balance at beginning of period				(333.6)				(333.6)
Other comprehensive income (loss) before reclassifications								(92.1)
Amounts reclassified from AOCI								4.3
Total other comprehensive loss, net of tax		(42.9)	$ (40.9)	(4.0)	$ (10.1)	$ 5.0	$ (21.0)	(87.8)
Balance at end of period		(421.4)						(421.4)
Foreign Currency Translation Adjustment [Member]
Components of Accumulated Other Comprehensive Loss, Net of Tax [Roll Forward]
Balance at beginning of period				(269.8)				(269.8)
Other comprehensive income (loss) before reclassifications								(108.5)
Amounts reclassified from AOCI								0.0
Total other comprehensive loss, net of tax								(108.5)
Balance at end of period		(378.3)						(378.3)
Unrecognized Pension Costs [Member]
Components of Accumulated Other Comprehensive Loss, Net of Tax [Roll Forward]
Balance at beginning of period				(69.6)				(69.6)
Other comprehensive income (loss) before reclassifications								0.0
Amounts reclassified from AOCI								4.3
Total other comprehensive loss, net of tax								4.3
Balance at end of period		(65.3)						(65.3)
Net Gain (Loss) on Derivative Instruments [Member]
Components of Accumulated Other Comprehensive Loss, Net of Tax [Roll Forward]
Balance at beginning of period				$ 5.8				5.8
Other comprehensive income (loss) before reclassifications								16.4
Amounts reclassified from AOCI								0.0
Total other comprehensive loss, net of tax								16.4
Balance at end of period		$ 22.2						$ 22.2

[1] Condensed from audited financial statements

[2] Unaudited