Derivative Instruments and Hedging Activities - Schedule of Designated Derivative Instruments within Interest Expense, Net and Cost of Revenue in Statements of Operations (Details) - USD ($) $ in Millions	12 Months Ended
	Jan. 02, 2022	Jan. 03, 2021	Dec. 29, 2019
Derivative [Line Items]
Interest expense, net	$ 146.0	$ 198.2	$ 231.4
Cost of revenue	1,006.8	908.2	$ 922.4
Cash Flow Hedge
Derivative [Line Items]
Interest expense, net	146.0	198.2
Cost of revenue	1,006.8	908.2
Cash Flow Hedge | Designated as Hedging Instrument | Interest Expense, Net | Interest Rate Derivatives
Derivative [Line Items]
Amount of loss (gain) reclassified from accumulated OCI into income	(26.9)	1.0
Amount reclassified from AOCI into income due to a forecast transaction that is no longer probable of occurring	3.7	0.0
Cash Flow Hedge | Designated as Hedging Instrument | Cost of Revenue | Foreign Currency Derivatives
Derivative [Line Items]
Amount of loss (gain) reclassified from accumulated OCI into income	(2.3)	5.3
Amount reclassified from AOCI into income due to a forecast transaction that is no longer probable of occurring	$ 0.0	$ 0.0