Consolidated Statements of Income - USD ($) shares in Millions, $ in Millions	12 Months Ended
	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019
Income Statement [Abstract]
Net sales	$ 4,614.3	$ 3,086.2	$ 3,163.6
Costs and expenses
Cost of sales	2,772.9	1,905.3	1,920.3
Selling, general and administrative expenses	1,067.8	662.0	715.1
Acquired intangible asset amortization	149.3	38.8	36.5
Total costs and expenses	3,990.0	2,606.1	2,671.9
Operating income	624.3	480.1	491.7
Interest and debt expense, net	(104.2)	(15.3)	(21.0)
Non-service retirement benefit income	11.2	12.1	8.0
Other income (expense), net	2.5	(7.2)	(5.0)
Income before income taxes	533.8	469.7	473.7
Provision for income taxes	88.5	67.8	71.4
Net income	$ 445.3	$ 401.9	$ 402.3
Basic earnings per common share (in USD per share)	$ 10.31	$ 10.95	$ 11.08
Weighted average common shares outstanding (in shares)	43.2	36.7	36.3
Diluted earnings per common share (in USD per share)	$ 10.05	$ 10.62	$ 10.73
Weighted average diluted common shares outstanding (in shares)	44.3	37.9	37.5