Consolidated Accumulated Other Comprehensive (Loss) Income - Changes in Consolidated Accumulated Other Comprehensive (Loss) Income by Component (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning Balance	$ 1,346.9	$ 1,166.2	$ 1,170.4
OCI before reclassifications	17.6	(15.7)	25.2
Amounts reclassified from AOCI	0.0	(2.5)	8.0
Total other comprehensive income (loss)	17.6	(18.2)	33.2
Ending Balance	1,320.1	1,346.9	1,166.2
Gains and Losses on Derivative Instruments
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning Balance	0.0	11.2	(9.7)
OCI before reclassifications	0.0	(8.7)	12.9
Amounts reclassified from AOCI	0.0	(2.5)	8.0
Total other comprehensive income (loss)	0.0	(11.2)	20.9
Ending Balance	0.0	0.0	11.2
Pension Benefit Plan Items
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning Balance	(1.1)	(1.0)	0.3
OCI before reclassifications	(0.6)	(0.1)	(1.3)
Amounts reclassified from AOCI	0.0	0.0	0.0
Total other comprehensive income (loss)	(0.6)	(0.1)	(1.3)
Ending Balance	(1.7)	(1.1)	(1.0)
Currency Translation Adjustment Items
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning Balance	(85.6)	(78.7)	(92.3)
OCI before reclassifications	18.2	(6.9)	13.6
Amounts reclassified from AOCI	0.0	0.0	0.0
Total other comprehensive income (loss)	18.2	(6.9)	13.6
Ending Balance	(67.4)	(85.6)	(78.7)
Total
AOCI Attributable to Parent, Net of Tax [Roll Forward]
Beginning Balance	(86.7)	(68.5)	(101.7)
Total other comprehensive income (loss)	17.6	(18.2)	33.2
Ending Balance	$ (69.1)	$ (86.7)	$ (68.5)