Income Taxes (Unrecognized Tax Benefits) (Details) - USD ($) $ in Millions	12 Months Ended
	Dec. 31, 2022	Jan. 01, 2022	Jan. 02, 2021
Reconciliation of Unrecognized Tax Benefits, Excluding Amounts Pertaining to Examined Tax Returns [Roll Forward]
Unrecognized Tax Benefits - Beginning of Year	$ 8.8	$ 6.8	$ 6.9
Gross Increases from Prior Period Tax Positions		0.1
Gross Increases from Current Period Tax Positions	0.6	0.6	0.2
Gross Increases from Acquisitions		5.3
Settlements with Taxing Authorities	(2.0)
Lapse of Statute of Limitations	(1.7)	(4.0)	(0.3)
Unrecognized Tax Benefits - End of Year	$ 5.7	$ 8.8	$ 6.8