Leases - Supplemental Cash Flow and Balance Sheet Information Related to Leases (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 01, 2023	Jan. 02, 2022	Dec. 27, 2020
Cash paid for amounts included in measurement of lease liabilities:
Operating cash flows related to operating leases	$ 182.6	$ 147.0	$ 130.9
Operating cash flows related to finance leases	0.7	0.8	1.0
Financing cash flows related to finance leases	11.3	12.7	14.3
Right-of-use assets obtained in exchange for lease obligations:
Operating leases	280.8	256.6	291.7
Finance leases	12.5	17.6	$ 18.1
Operating Leases
Operating lease right-of-use assets	1,543.5	1,262.7
Accumulated amortization	(339.6)	(238.3)
Operating lease right-of-use assets, net	1,203.9	1,024.4
Other accrued expenses	87.6	94.3
Operating lease liabilities	1,165.0	984.8
Total operating lease liabilities	1,252.6	1,079.1
Finance Leases
Property and equipment, gross	156.6	157.6
Accumulated depreciation	(133.5)	(120.6)
Property and equipment, net	$ 23.1	$ 37.0
Finance Lease, Liability, Current, Statement of Financial Position [Extensible List]	Other accrued expenses	Other accrued expenses
Other accrued expenses	$ 9.1	$ 10.9
Finance Lease, Liability, Noncurrent, Statement of Financial Position [Extensible List]	Other liabilities	Other liabilities
Other liabilities	$ 13.8	$ 23.5
Total finance lease liabilities	$ 22.9	$ 34.4
Weighted Average Remaining Lease Term (Years)
Operating leases	12 years 6 months 10 days	11 years 10 months 20 days
Finance leases	2 years 9 months 21 days	3 years 6 months 7 days
Weighted Average Discount Rate
Operating leases	5.60%	5.40%
Finance leases	2.40%	2.50%