Schedule II Valuation and Qualifying Accounts (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019
Allowance for doubtful accounts
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]
Balance at beginning of period	$ 12.3	$ 10.2	$ 6.7
Charged to costs and expenses	4.5	4.1	1.3
Acquisitions	0.0	0.0	2.3
Deductions and other	(3.0)	(2.0)	(0.1)
Balance at end of period	13.8	12.3	10.2
Environmental reserves
SEC Schedule, 12-09, Movement in Valuation Allowances and Reserves [Roll Forward]
Balance at beginning of period	6.5	6.0	6.0
Charged to costs and expenses	0.4	1.1	0.6
Acquisitions	0.0	0.0	0.0
Deductions and other	(0.6)	(0.6)	(0.6)
Balance at end of period	$ 6.3	$ 6.5	$ 6.0