Accumulated Other Comprehensive Loss - Summary of Accumulated Other Comprehensive Income (Loss), Net of Tax (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning balance	$ (1,010.8)	$ (812.8)	$ (654.7)
Other comprehensive income (loss), net of tax	24.7	3.5	(19.7)
Ending balance	410.5	(1,010.8)	(812.8)
Pension and Other Postemployment Benefits
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning balance	(4.5)	(4.3)	(1.0)
Current period deferrals	1.2	(0.1)	(2.3)
Amounts reclassified to net loss	0.0	(0.1)	(1.0)
Cumulative effect of change in accounting standard		0.0	0.0
Other comprehensive income (loss), net of tax	1.2	(0.2)	(3.3)
Ending balance	(3.3)	(4.5)	(4.3)
Unrealized Foreign Currency Translation Adjustments
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning balance	(5.1)	(64.5)	(63.6)
Current period deferrals	(17.5)	59.4	(0.9)
Amounts reclassified to net loss	0.0	0.0	0.0
Cumulative effect of change in accounting standard		0.0	0.0
Other comprehensive income (loss), net of tax	(17.5)	59.4	(0.9)
Ending balance	(22.6)	(5.1)	(64.5)
Accumulated Other Comprehensive Loss
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning balance	(68.4)	(71.9)	(52.2)
Current period deferrals	(4.5)	13.6	(9.7)
Amounts reclassified to net loss	29.2	(6.4)	(9.8)
Cumulative effect of change in accounting standard		(3.7)	(0.2)
Other comprehensive income (loss), net of tax	24.7	3.5	(19.7)
Ending balance	(43.7)	(68.4)	(71.9)
Foreign Currency Derivatives | Derivatives
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning balance	(4.9)	2.7	0.6
Current period deferrals	4.2	(2.3)	3.1
Amounts reclassified to net loss	2.3	(5.3)	(1.0)
Cumulative effect of change in accounting standard		0.0	0.0
Other comprehensive income (loss), net of tax	6.6	(7.6)	2.1
Ending balance	1.7	(4.9)	2.7
Interest Rate Derivatives | Derivatives
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning balance	(53.9)	(5.8)	11.8
Current period deferrals	7.5	(43.4)	(9.6)
Amounts reclassified to net loss	26.9	(1.0)	(7.8)
Cumulative effect of change in accounting standard		(3.7)	(0.2)
Other comprehensive income (loss), net of tax	34.4	(48.1)	(17.6)
Ending balance	$ (19.5)	$ (53.9)	$ (5.8)