Summary of Significant Accounting Policies (Earnings Per Common Share) (Details) - USD ($) $ / shares in Units, shares in Millions, $ in Millions	12 Months Ended
	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019
Earnings Per Common Share:
Net income	$ 445.3	$ 401.9	$ 402.3
Basic earnings per common share:
Weighted average common shares outstanding (in shares)	43.2	36.7	36.3
Basic earnings per common share (in USD per share)	$ 10.31	$ 10.95	$ 11.08
Diluted earnings per share:
Weighted average common shares outstanding (in shares)	43.2	36.7	36.3
Effect of diluted securities (in shares)	1.1	1.2	1.2
Weighted average diluted common shares outstanding (in shares)	44.3	37.9	37.5
Diluted earnings per common share (in USD per share)	$ 10.05	$ 10.62	$ 10.73