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Intangible Assets, net - Schedule of Finite-Lived Intangible Assets (Details) - USD ($) $ in Millions | Apr. 11, 2022 | Jul. 02, 2022 | Jan. 01, 2022
--- | --- | --- | ---
Finite-Lived Intangible Assets [Line Items] |  |  |
Gross Carrying Amount |  | $ 522.5 | $ 118.5
Accumulated Amortization |  | (58.0) | (45.8)
Total intangible assets subject to amortization, net |  | 464.5 | 72.7
Intangible assets not subject to amortization: |  | 262.0 | 0.0
Intangible assets, net |  | 726.5 | 72.7
Customer relationships |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Gross Carrying Amount |  | 228.6 | 24.6
Accumulated Amortization |  | (13.0) | (9.3)
Total intangible assets subject to amortization, net |  | 215.6 | 15.3
Acquired technologies |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Gross Carrying Amount |  | 183.9 | 28.4
Accumulated Amortization |  | (13.0) | (7.7)
Total intangible assets subject to amortization, net |  | 170.9 | 20.7
Patents |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Gross Carrying Amount |  | 61.9 | 31.5
Accumulated Amortization |  | (14.0) | (13.2)
Total intangible assets subject to amortization, net |  | 47.9 | 18.3
Trademarks |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Gross Carrying Amount |  | 18.7 | 12.2
Accumulated Amortization |  | (5.6) | (4.1)
Total intangible assets subject to amortization, net |  | 13.1 | 8.1
Licenses |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Gross Carrying Amount |  | 8.7 | 8.1
Accumulated Amortization |  | (2.5) | (2.0)
Total intangible assets subject to amortization, net |  | 6.2 | 6.1
Licenses | Cercacor Laboratories |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Gross Carrying Amount |  | 7.5 | 7.5
Accumulated Amortization |  | (6.2) | (6.0)
Total intangible assets subject to amortization, net |  | 1.3 | 1.5
Non-compete agreements |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Gross Carrying Amount |  | 6.0 | 0.0
Accumulated Amortization |  | 0.0 | 0.0
Total intangible assets subject to amortization, net |  | 6.0 | 0.0
Non-compete agreements | Sound United |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Finite-lived intangible assets acquired | $ 6.0 |  |
Capitalized software development costs |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Gross Carrying Amount |  | 5.3 | 4.2
Accumulated Amortization |  | (2.7) | (2.6)
Total intangible assets subject to amortization, net |  | 2.6 | 1.6
Other |  |  |
Finite-Lived Intangible Assets [Line Items] |  |  |
Gross Carrying Amount |  | 1.9 | 2.0
Accumulated Amortization |  | (1.0) | (0.9)
Total intangible assets subject to amortization, net |  | $ 0.9 | $ 1.1

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