Schedule II - Valuation Reserves (Details) - Valuation Reserves - Deferred tax assets valuation allowance - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2023	Jan. 01, 2023	Jan. 02, 2022
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]
Balance at beginning of year	$ 34.0	$ 19.0	$ 20.2
Charged to costs and expenses	40.9	15.8	0.5
Charged to other accounts	0.0	0.0	0.0
Currency exchange effects	0.6	(0.7)	(0.8)
Deductions from reserves	(15.0)	(0.1)	(0.9)
Balance at end of year	$ 60.5	$ 34.0	$ 19.0