Summary of Significant Accounting Policies (Fair Values of Derivative Financial Instruments) (Details) - USD ($) $ in Millions	Jan. 02, 2022	Jan. 03, 2021
Derivative [Line Items]
Total liability derivatives	$ (5.1)	$ (16.3)
Designated as hedging instrument
Derivative [Line Items]
Total liability derivatives	(7.7)	(21.8)
Not designated as hedging instrument
Derivative [Line Items]
Total asset derivatives	2.6	5.5
Other assets | Foreign exchange contracts | Designated as hedging instrument
Derivative [Line Items]
Total asset derivatives	0.3	7.3
Other non-current liabilities | Interest rate contracts | Designated as hedging instrument
Derivative [Line Items]
Total liability derivatives	(0.1)	(1.8)
Other non-current liabilities | Cash flow cross currency swaps | Designated as hedging instrument
Derivative [Line Items]
Total liability derivatives	(9.4)	(29.2)
Other current liabilities | Interest rate contracts | Designated as hedging instrument
Derivative [Line Items]
Total liability derivatives	(1.2)	(1.5)
Accrued liabilities | Foreign exchange contracts | Designated as hedging instrument
Derivative [Line Items]
Total liability derivatives	(1.2)	0.0
Accrued liabilities | Foreign exchange contracts | Not designated as hedging instrument
Derivative [Line Items]
Total liability derivatives	(2.1)	(1.2)
Other current assets | Foreign exchange contracts | Not designated as hedging instrument
Derivative [Line Items]
Total asset derivatives	4.7	6.7
Other current assets | Cash flow cross currency swaps | Designated as hedging instrument
Derivative [Line Items]
Total asset derivatives	3.8	3.3
Other current assets (accrued interest) | Cash flow cross currency swaps | Designated as hedging instrument
Derivative [Line Items]
Total asset derivatives	$ 0.1	$ 0.1