Accounting Policies (Accumulated Other Comprehensive Loss) (Details) - USD ($) $ in Millions	Jan. 01, 2022	Jan. 02, 2021	Dec. 28, 2019	Dec. 29, 2018
Accumulated Other Comprehensive Income (Loss) [Line Items]
Stockholders' equity, including portion attributable to noncontrolling interest	$ 6,350.1	$ 2,577.0	$ 2,380.4	$ 2,338.5
Accumulated Foreign Currency Adjustment Attributable to Parent
Accumulated Other Comprehensive Income (Loss) [Line Items]
Stockholders' equity, including portion attributable to noncontrolling interest	(201.8)	(155.7)
Accumulated Net Gain (Loss) from Cash Flow Hedges Attributable to Parent
Accumulated Other Comprehensive Income (Loss) [Line Items]
Stockholders' equity, including portion attributable to noncontrolling interest	21.0	23.5
Accumulated other comprehensive income (loss), tax	6.6	7.5
Accumulated Defined Benefit Plans Adjustment Attributable to Parent
Accumulated Other Comprehensive Income (Loss) [Line Items]
Stockholders' equity, including portion attributable to noncontrolling interest	14.3	31.1
Accumulated other comprehensive income (loss), tax	(4.2)	(9.4)
Accumulated Other Comprehensive Loss
Accumulated Other Comprehensive Income (Loss) [Line Items]
Stockholders' equity, including portion attributable to noncontrolling interest	$ (195.1)	$ (163.3)	$ (237.8)	$ (251.4)