Accumulated Other Comprehensive Income (Loss) - Net Changes in Accumulated OCI by Component, Net of Tax (Detail) - USD ($) $ in Millions	12 Months Ended
	Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019
Accumulated Other Comprehensive Income (Loss) , Net Changes [Roll Forward]
Beginning balance	$ 3,846.6	$ 3,430.8	$ 3,118.6
Other comprehensive income before reclassifications	(2.9)	117.6
Amounts reclassified from Accumulated OCI	24.8	24.5
Net other comprehensive income (loss)	21.9	142.1	0.2
Ending balance	4,203.8	3,846.6	3,430.8
Foreign Currency Translation
Accumulated Other Comprehensive Income (Loss) , Net Changes [Roll Forward]
Beginning balance	(74.7)	(187.4)
Other comprehensive income before reclassifications	(69.4)	112.7
Amounts reclassified from Accumulated OCI	(1.0)	0.0
Net other comprehensive income (loss)	(70.4)	112.7
Ending balance	(145.1)	(74.7)	(187.4)
Cash Flow Hedges
Accumulated Other Comprehensive Income (Loss) , Net Changes [Roll Forward]
Beginning balance	10.5	10.7
Other comprehensive income before reclassifications	0.0	1.4
Amounts reclassified from Accumulated OCI	(1.6)	(1.6)
Net other comprehensive income (loss)	(1.6)	(0.2)
Ending balance	8.9	10.5	10.7
Defined Benefit Pension and Postretirement Plans
Accumulated Other Comprehensive Income (Loss) , Net Changes [Roll Forward]
Beginning balance	(301.6)	(331.2)
Other comprehensive income before reclassifications	66.5	3.5
Amounts reclassified from Accumulated OCI	27.4	26.1
Net other comprehensive income (loss)	93.9	29.6
Ending balance	(207.7)	(301.6)	(331.2)
AOCI Attributable to Parent
Accumulated Other Comprehensive Income (Loss) , Net Changes [Roll Forward]
Beginning balance	(365.8)	(507.9)	(462.2)
Net other comprehensive income (loss)	21.9	142.1	0.2
Ending balance	$ (343.9)	$ (365.8)	$ (507.9)