Accumulated Other Comprehensive Loss - Changes in AOCI (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2022	Jan. 01, 2022	Jan. 02, 2021
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning Balance	$ 709.0	$ 607.8	$ 577.6
Ending Balance	794.9	709.0	607.8
Unrealized Gains and (Losses) on Derivative Instruments [Member]
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning Balance	(1.4)	(5.9)	(5.4)
Other comprehensive (loss) income before reclassifications	13.0	9.2	1.0
Amounts reclassified from accumulated other comprehensive loss, net of tax	(0.2)	(3.3)	(2.8)
Tax effect	(2.9)	(1.4)	1.3
Net current period other comprehensive (loss) income	9.9	4.5	(0.5)
Ending Balance	8.5	(1.4)	(5.9)
Foreign Currency Items [Member]
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning Balance	(47.6)	(28.4)	(50.0)
Other comprehensive (loss) income before reclassifications	(25.4)	(24.5)	27.3
Amounts reclassified from accumulated other comprehensive loss, net of tax	0.0	0.0	0.0
Tax effect	5.1	5.3	(5.7)
Net current period other comprehensive (loss) income	(20.3)	(19.2)	21.6
Ending Balance	(67.9)	(47.6)	(28.4)
Accumulated other comprehensive income (loss) [Member]
Accumulated Other Comprehensive Income Loss [Line Items]
Beginning Balance	(49.0)	(34.3)	(55.4)
Other comprehensive (loss) income before reclassifications	(12.4)	(15.3)	28.3
Amounts reclassified from accumulated other comprehensive loss, net of tax	(0.2)	(3.3)	(2.8)
Tax effect	2.2	3.9	(4.4)
Net current period other comprehensive (loss) income	(10.4)	(14.7)	21.1
Ending Balance	$ (59.4)	$ (49.0)	$ (34.3)