Supplemental Balance Sheet Information (Property, Plant and Equipment) (Details) - USD ($) $ in Millions	Jan. 02, 2022	Jan. 03, 2021
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	$ 1,570.8	$ 1,162.7
Accumulated depreciation and amortization	(743.3)	(673.4)
Total property, plant and equipment, net	827.5	489.3
Land
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	105.6	70.0
Buildings
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	448.9	286.0
Equipment and software and other
Property, Plant and Equipment [Line Items]
Property, plant and equipment, gross	$ 1,016.3	$ 806.7