Consolidated Accumulated Other Comprehensive (Loss) Income - Changes in Consolidated Accumulated Other Comprehensive (Loss) Income by Component (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 02, 2021	Dec. 28, 2019	Dec. 29, 2018
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning Balance	$ 1,166.2	$ 1,170.4	$ 885.7
OCI before reclassifications	(15.7)	25.2	(39.8)
Amounts reclassified from AOCI	(2.5)	8.0	32.5
Total other comprehensive (loss) income	(18.2)	33.2	(7.3)
Ending Balance	1,346.9	1,166.2	1,170.4
Gains and Losses on Derivative Instruments
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning Balance	11.2	(9.7)	(1.4)
OCI before reclassifications	(8.7)	12.9	(14.5)
Amounts reclassified from AOCI	(2.5)	8.0	6.2
Total other comprehensive (loss) income	(11.2)	20.9	(8.3)
Ending Balance	0.0	11.2	(9.7)
Pension Benefit Plan Items
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning Balance	(1.0)	0.3	(16.8)
OCI before reclassifications	(0.1)	(1.3)	0.2
Amounts reclassified from AOCI	0.0	0.0	16.9
Total other comprehensive (loss) income	(0.1)	(1.3)	17.1
Ending Balance	(1.1)	(1.0)	0.3
Currency Translation Adjustment Items
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning Balance	(78.7)	(92.3)	(76.2)
OCI before reclassifications	(6.9)	13.6	(25.5)
Amounts reclassified from AOCI	0.0	0.0	9.4
Total other comprehensive (loss) income	(6.9)	13.6	(16.1)
Ending Balance	(85.6)	(78.7)	(92.3)
Total
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning Balance	(68.5)	(101.7)	(94.4)
Total other comprehensive (loss) income	(18.2)	33.2	(7.3)
Ending Balance	$ (86.7)	$ (68.5)	$ (101.7)