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Deferred Revenue and Other Contract Liabilities, Current - Narrative (Details) - USD ($) $ in Millions	Oct. 01, 2022	Jan. 01, 2022	Oct. 31, 2020
Revenue Recognition, Multiple-deliverable Arrangements [Line Items]
Unrecognized contract revenue	$ 1,238.1
Deferred revenue	56.7	$ 35.1
Bowers and Wilkins
Revenue Recognition, Multiple-deliverable Arrangements [Line Items]
Royalty prepayment			$ 20.0
Deferred revenue	22.0		$ 35.0
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2022-07-03
Revenue Recognition, Multiple-deliverable Arrangements [Line Items]
Unrecognized contract revenue	$ 347.8
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2022-07-03 | Twelve Months and Thereafter
Revenue Recognition, Multiple-deliverable Arrangements [Line Items]
Revenue remaining performance obligation, expected timing of satisfaction	12 months
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2022-10-02
Revenue Recognition, Multiple-deliverable Arrangements [Line Items]
Revenue remaining performance obligation, expected timing of satisfaction	1 year

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