Supplemental Cash Flow Information - Changes In Operating Assets And Liabilities, Net of Acquisitions (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019
Supplemental Cash Flow Elements [Abstract]
(Increase) decrease in trade accounts receivable	$ (150.7)	$ 55.9	$ 46.0
(Increase) decrease in prepaid expenses and other assets	5.0	21.8	6.0
(Increase) decrease in ROU assets	7.7	0.2	0.7
Increase (decrease) in accounts payable and accrued liabilities	155.8	10.5	(43.0)
Increase (decrease) in operating lease liabilities	(29.7)	(21.1)	(21.6)
Increase (decrease) in accrued payroll and related taxes	12.5	71.9	(13.2)
Increase (decrease) in accrued workers’ compensation and other claims	(6.2)	(4.9)	(1.9)
Increase (decrease) in income and other taxes	(4.6)	(14.0)	0.6
Total changes in operating assets and liabilities, net of acquisitions	$ (10.2)	$ 120.3	$ (26.4)