Financial Information of Registrant (Parent Company Only) - Schedule of Statement of Operation and Comprehensive Loss (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019
Condensed Statement Of Income Captions [Line Items]
Net loss	$ (54.3)	$ (211.9)	$ (156.9)
Equity in other comprehensive income (loss) of subsidiaries	24.7	3.5	(19.7)
Comprehensive loss	(29.6)	(208.4)	(176.6)
Parent Company
Condensed Statement Of Income Captions [Line Items]
Equity in loss of subsidiaries	(50.8)	(211.9)	(156.9)
Selling, marketing and administrative expenses	3.5	0.0	0.0
Net loss	(54.3)	(211.9)	(156.9)
Equity in other comprehensive income (loss) of subsidiaries	24.7	4.2	(19.7)
Comprehensive loss	$ (29.6)	$ (207.7)	$ (176.6)