Property and Equipment (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 01, 2023	Jan. 02, 2022	Dec. 27, 2020
Property, Plant and Equipment [Line Items]
Property and equipment, gross	$ 954.5	$ 870.0
Accumulated depreciation	(570.7)	(531.9)
Property and equipment, net	383.8	338.1
Depreciation expense	43.1	41.6	$ 42.9
Land
Property, Plant and Equipment [Line Items]
Property and equipment, gross	177.0	168.4
Building and leasehold improvements
Property, Plant and Equipment [Line Items]
Property and equipment, gross	$ 354.0	328.2
Building and leasehold improvements | Minimum
Property, Plant and Equipment [Line Items]
Useful Lives (in years)	1 year
Building and leasehold improvements | Maximum
Property, Plant and Equipment [Line Items]
Useful Lives (in years)	30 years
Furniture, fixtures, equipment and vehicles
Property, Plant and Equipment [Line Items]
Property and equipment, gross	$ 372.5	349.5
Furniture, fixtures, equipment and vehicles | Minimum
Property, Plant and Equipment [Line Items]
Useful Lives (in years)	3 years
Furniture, fixtures, equipment and vehicles | Maximum
Property, Plant and Equipment [Line Items]
Useful Lives (in years)	5 years
Construction in progress
Property, Plant and Equipment [Line Items]
Property and equipment, gross	$ 51.0	$ 23.9