Reconciliation of Federal Tax Rate to Effective Tax Rate (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2023	Jan. 01, 2023	Jan. 02, 2022
Effective Income Tax Rate Reconciliation, Amount [Abstract]
Taxes computed at the federal rate	$ 62.0	$ 74.5	$ 49.0
Goodwill	0.0	0.0	2.6
State and local income taxes, net of federal tax benefit	1.2	2.9	0.4
Valuation allowance	(198.8)	(84.4)	(29.2)
Repatriation of foreign earnings (GILTI )	5.0	0.0	2.0
Divestiture	0.0	23.0	0.0
Recognition of stranded deferred tax balance	0.0	0.0	3.9
Foreign earnings taxed at different rate	2.7	3.2	3.0
Withholding taxes	4.8	2.6	3.4
Preferential tax rate	(3.6)	(4.9)	(6.2)
Other	(1.5)	(1.4)	(2.1)
Income tax provision (benefit)	$ (128.2)	$ 15.5	$ 26.8