Leases - Components of Lease Expense (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 01, 2023	Jan. 02, 2022	Dec. 27, 2020
Leases [Abstract]
Operating lease expense	$ 178.3	$ 153.9	$ 136.7
Finance lease cost:
Amortization of right-of-use assets	11.4	12.3	14.5
Interest on lease liabilities	0.7	0.8	0.9
Short-term lease cost	4.3	6.9	4.7
Total lease cost	$ 194.7	$ 173.9	$ 156.8