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Intangible Assets, net - Schedule of Finite-Lived Intangible Assets (Details) - USD ($)
$ in Millions
Apr. 11, 2022
Oct. 01, 2022
Jan. 01, 2022
Intangible assets subject to amortization:      
Gross Carrying Amount   $ 515.2 $ 118.5
Accumulated Amortization   (68.6) (46.0)
Net Carrying Amount   446.6 72.5
Intangible assets not subject to amortization:      
Net Carrying Amount   262.0 0.0
Intangible Assets, Net (Excluding Goodwill) [Abstract]      
Intangible assets, net   708.6 72.5
Trademarks      
Intangible assets not subject to amortization:      
Net Carrying Amount   262.0 0.0
Customer relationships      
Intangible assets subject to amortization:      
Gross Carrying Amount   220.6 24.6
Accumulated Amortization   (16.1) (9.3)
Net Carrying Amount   204.5 15.3
Acquired technologies      
Intangible assets subject to amortization:      
Gross Carrying Amount   183.5 28.4
Accumulated Amortization   (19.6) (8.7)
Net Carrying Amount   163.9 19.7
Patents      
Intangible assets subject to amortization:      
Gross Carrying Amount   33.9 31.5
Accumulated Amortization   (13.3) (12.2)
Net Carrying Amount   20.6 19.3
Licenses      
Intangible assets subject to amortization:      
Gross Carrying Amount   37.8 8.1
Accumulated Amortization   (3.6) (2.0)
Net Carrying Amount   34.2 6.1
Licenses | Cercacor Laboratories      
Intangible assets subject to amortization:      
Gross Carrying Amount   7.5 7.5
Accumulated Amortization   (6.3) (6.0)
Net Carrying Amount   1.2 1.5
Trademarks      
Intangible assets subject to amortization:      
Gross Carrying Amount   18.7 12.2
Accumulated Amortization   (5.2) (4.1)
Net Carrying Amount   13.5 8.1
Non-compete agreements      
Intangible assets subject to amortization:      
Gross Carrying Amount   6.3 0.3
Accumulated Amortization   (0.7) 0.0
Net Carrying Amount   5.6 0.3
Non-compete agreements | Sound United      
Intangible assets subject to amortization:      
Finite-lived intangible assets acquired $ 6.0    
Capitalized software development costs      
Intangible assets subject to amortization:      
Gross Carrying Amount   5.3 4.3
Accumulated Amortization   (2.8) (2.6)
Net Carrying Amount   2.5 1.7
Other      
Intangible assets subject to amortization:      
Gross Carrying Amount   1.6 1.6
Accumulated Amortization   (1.0) (1.1)
Net Carrying Amount   $ 0.6 $ 0.5