Fair Value Accounting - Schedule of Fair Value of Long-term Borrowings (Details) - USD ($) $ in Millions	Jan. 02, 2022	Jan. 03, 2021
Dollar Term Loan Facility
Fair Value Balance Sheet Grouping Financial Statement Captions [Line Items]
Long-term borrowings, fair value	$ 1,291.4	$ 2,627.7
Euro Term Loan Facility
Fair Value Balance Sheet Grouping Financial Statement Captions [Line Items]
Long-term borrowings, fair value	335.7	401.1
2028 Notes
Fair Value Balance Sheet Grouping Financial Statement Captions [Line Items]
Long-term borrowings, fair value	435.4	710.4
2025 Notes
Fair Value Balance Sheet Grouping Financial Statement Captions [Line Items]
Long-term borrowings, fair value	$ 253.2	$ 424.0