Borrowings and Other Arrangements - Components of Borrowings (Details) - USD ($) $ in Millions	Jul. 04, 2021	Jan. 03, 2021
Debt Instrument [Line Items]
Finance lease obligation	$ 0.9	$ 1.0
Other short-term borrowings	2.1	0.9
Other long-term borrowings	3.2	3.9
Unamortized deferred financing costs	(23.9)	(40.9)
Unamortized original issue discount	(6.0)	(11.3)
Total borrowings	2,295.0	3,718.5
Less: Current portion	(65.6)	(160.0)
Long-term borrowings	2,229.4	3,558.5
Dollar Term Loan Facility
Debt Instrument [Line Items]
Long-term borrowings, gross	1,292.8	2,185.5
Unamortized deferred financing costs	(9.1)	(17.3)
Euro Term Loan Facility
Debt Instrument [Line Items]
Long-term borrowings, gross	380.9	408.9
Unamortized deferred financing costs	(4.1)	(4.6)
Revolving Credit Facility
Debt Instrument [Line Items]
Long-term borrowings, gross	0.0	0.0
Unamortized deferred financing costs	(3.5)	(3.4)
2028 Notes
Debt Instrument [Line Items]
Long-term borrowings, gross	405.0	675.0
Unamortized deferred financing costs	(6.8)	(11.8)
2025 Notes
Debt Instrument [Line Items]
Long-term borrowings, gross	240.0	400.0
Unamortized deferred financing costs	(3.8)	(7.0)
Accounts Receivable Financing
Debt Instrument [Line Items]
Long-term borrowings, gross	0.0	75.0
Sale and Leaseback Financing
Debt Instrument [Line Items]
Long-term borrowings, gross	$ 0.0	$ 20.5

Amount of short-term and long-term debt and lease obligation.

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Amount, before unamortized (discount) premium and debt issuance costs, of long-term debt. Includes, but is not limited to, notes payable, bonds payable, commercial loans, mortgage loans, convertible debt, subordinated debt and other types of debt.

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Amount, after accumulated amortization, of debt discount.

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Amount, after accumulated amortization, of debt issuance costs. Includes, but is not limited to, legal, accounting, underwriting, printing, and registration costs.

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Present value of lessee's discounted obligation for lease payments from finance lease.

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Amount of long-term debt and lease obligation, classified as noncurrent.

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