Accounting Policies (Accumulated Other Comprehensive Loss) (Details) - USD ($) $ in Millions	Jan. 02, 2021	Dec. 28, 2019	Dec. 29, 2018	Dec. 30, 2017
Accumulated Other Comprehensive Income (Loss) [Line Items]
Stockholders' equity, including portion attributable to noncontrolling interest	$ 2,577.0	$ 2,380.4	$ 2,338.5	$ 2,354.7
Accumulated Foreign Currency Adjustment Attributable to Parent
Accumulated Other Comprehensive Income (Loss) [Line Items]
Stockholders' equity, including portion attributable to noncontrolling interest	(155.7)	(214.8)
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	23.5	8.0
Accumulated other comprehensive income (loss), tax	7.5	2.5
Accumulated Defined Benefit Plans Adjustment Attributable to Parent
Accumulated Other Comprehensive Income (Loss) [Line Items]
Stockholders' equity, including portion attributable to noncontrolling interest	31.1	31.0
Accumulated other comprehensive income (loss), tax	(9.4)	(9.5)
Accumulated Other Comprehensive Loss
Accumulated Other Comprehensive Income (Loss) [Line Items]
Stockholders' equity, including portion attributable to noncontrolling interest	$ (163.3)	$ (237.8)	$ (251.4)	$ (164.0)