Leases - Lease Expense (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 01, 2022	Jan. 02, 2021
Leases [Abstract]
Operating lease cost	$ 50.0	$ 49.0
Short-term lease cost	6.3	8.0
Finance lease cost
Amortization of right-of-use assets	15.7	11.7
Interest on lease liabilities	3.6	3.5
Total finance lease cost	19.3	15.2
Sublease income	0.8	0.7
Cash paid for amounts included in the measurement of lease liabilities:
Operating cash flows from operating leases	51.4	52.2
Operating cash flows from finance leases	3.3	3.6
Financing cash flows from finance leases	13.8	10.5
Right-of-use assets obtained in exchange for lease obligations:
Operating leases	37.2	29.5
Finance leases	$ 35.8	$ 52.2