Supplemental Balance Sheet Information - Accrued Liabilities (Details) - USD ($) $ in Millions	Jan. 01, 2023	Jan. 02, 2022
Organization, Consolidation and Presentation of Financial Statements [Abstract]
Compensation, benefit and other employee related accruals	$ 205.1	$ 215.1
Contract liabilities	187.6	186.0
Warranty reserve	43.3	41.8
Operating lease liabilities	29.4	28.3
Derivative liabilities	27.8	4.4
Unrecognized tax benefits, including accrued interest and penalties	0.0	341.0
Other	224.4	212.3
Total accrued liabilities	$ 717.6	$ 1,028.9
Operating Lease, Liability, Current, Statement of Financial Position [Extensible List]	Total accrued liabilities	Total accrued liabilities

Carrying value as of the balance sheet date of obligations incurred and payable, pertaining to costs that are statutory in nature, are incurred on contractual obligations, or accumulate over time and for which invoices have not yet been received or will not be rendered. Examples include taxes, interest, rent and utilities. Used to reflect the current portion of the liabilities (due within one year or within the normal operating cycle if longer).

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Amount of obligation to transfer good or service to customer for which consideration has been received or is receivable, classified as current.

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Fair value, after the effects of master netting arrangements, of a financial liability or contract with one or more underlyings, notional amount or payment provision or both, and the contract can be net settled by means outside the contract or delivery of an asset, expected to be settled within one year or normal operating cycle, if longer. Includes assets not subject to a master netting arrangement and not elected to be offset.

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Total of the carrying values as of the balance sheet date of obligations incurred through that date and payable for obligations related to services received from employees, such as accrued salaries and bonuses, payroll taxes and fringe benefits. Used to reflect the current portion of the liabilities (due within one year or within the normal operating cycle if longer).

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Amount recognized for uncertainty in income taxes classified as current.

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Present value of lessee's discounted obligation for lease payments from operating lease, classified as current.

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Indicates line item in statement of financial position that includes current operating lease liability.

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Amount of liabilities classified as other, due within one year or the normal operating cycle, if longer.

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Carrying value as of the balance sheet date of obligations incurred through that date and payable for estimated claims under standard and extended warranty protection rights granted to customers. For classified balance sheets, represents the current portion of the liabilities (due within one year or within the normal operating cycle if longer).

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