Derivative Instruments and Hedging Activities - Schedule of Gains and Losses from Designated Derivative and Non-derivative Instruments within AOCI (Details) - Designated as Hedging Instrument - USD ($) $ in Millions		12 Months Ended
		Jan. 02, 2022	Jan. 03, 2021
Foreign Currency Derivatives | Cost of Revenue | Cash Flow Hedge
Derivative [Line Items]
Amount of loss (gain) recognized in OCI on hedges		$ (4.2)	$ 2.3
Amount of loss (gain) reclassified from AOCI into income		2.3	(5.3)
Interest Rate Derivatives | Interest Expense, Net | Cash Flow Hedge
Derivative [Line Items]
Amount of loss (gain) recognized in OCI on hedges		(7.5)	47.1
Amount of loss (gain) reclassified from AOCI into income		26.9	$ (1.0)
Foreign Currency Denominated Debt | Net Investment Hedge
Derivative [Line Items]
Amount of loss (gain) recognized in OCI on hedges	[1]	$ (9.4)

[1] The amount of loss (gain) recognized in OCI for the foreign-currency denominated debt is presented within the CTA component of OCI. These gains and losses will remain in CTA until the related hedged item affects earnings, which would occur upon disposal or complete or substantial liquidation of the underlying hedged entities.