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Intangible Assets, Net - Schedule of Finite-Lived Intangible Assets (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Dec. 28, 2024
Dec. 30, 2023
Sep. 30, 2023
Dec. 28, 2024
Dec. 30, 2023
Intangible assets subject to amortization:          
Gross Carrying Amount $ 528.1 $ 552.3   $ 528.1 $ 552.3
Accumulated Amortization (177.2) (132.4)   (177.2) (132.4)
Net Carrying Amount 350.9 419.9   $ 350.9 $ 419.9
Impairment, Intangible Asset, Indefinite-Lived (Excluding Goodwill), Statement of Income or Comprehensive Income [Extensible Enumeration]       Impairment charges, including intangible assets and goodwill - (Note 9 and Note 10) Impairment charges, including intangible assets and goodwill - (Note 9 and Note 10)
Intangible assets not subject to amortization:          
Trademarks 207.3 232.4   $ 207.3 $ 232.4
Intangible Assets, Net (Excluding Goodwill) [Abstract]          
Intangible assets, net 558.2 652.3   558.2 652.3
Capitalized software development costs, patents and licenses-related party 26.0        
Trademarks          
Intangible assets not subject to amortization:          
Trademarks 217.3 242.4   217.3 242.4
Impairment charge   (3.0) $ (7.0) (10.0) (10.0)
Total trademarks 207.3 232.4   207.3 232.4
Customer relationships          
Intangible assets subject to amortization:          
Gross Carrying Amount 199.3 209.2   199.3 209.2
Accumulated Amortization (41.7) (31.5)   (41.7) (31.5)
Net Carrying Amount 157.6 177.7   157.6 177.7
Acquired technologies          
Intangible assets subject to amortization:          
Gross Carrying Amount 164.9 174.7   164.9 174.7
Accumulated Amortization (62.0) (45.3)   (62.0) (45.3)
Net Carrying Amount 102.9 129.4   102.9 129.4
Capitalized software development costs          
Intangible assets subject to amortization:          
Gross Carrying Amount 54.1 53.9   54.1 53.9
Accumulated Amortization (28.6) (15.2)   (28.6) (15.2)
Net Carrying Amount 25.5 38.7   25.5 38.7
Licenses          
Intangible assets subject to amortization:          
Gross Carrying Amount 30.3 39.7   30.3 39.7
Accumulated Amortization (6.2) (7.4)   (6.2) (7.4)
Net Carrying Amount 24.1 32.3   24.1 32.3
Licenses | Willow Laboratories, Inc.          
Intangible assets subject to amortization:          
Gross Carrying Amount 7.5 7.5   7.5 7.5
Accumulated Amortization (7.1) (6.7)   (7.1) (6.7)
Net Carrying Amount 0.4 0.8   0.4 0.8
Patents          
Intangible assets subject to amortization:          
Gross Carrying Amount 44.0 39.2   44.0 39.2
Accumulated Amortization (17.5) (15.2)   (17.5) (15.2)
Net Carrying Amount 26.5 24.0   26.5 24.0
Trademarks          
Intangible assets subject to amortization:          
Gross Carrying Amount 20.1 20.1   20.1 20.1
Accumulated Amortization (9.0) (7.4)   (9.0) (7.4)
Net Carrying Amount 11.1 12.7   11.1 12.7
Non-compete agreements          
Intangible assets subject to amortization:          
Gross Carrying Amount 6.3 6.3   6.3 6.3
Accumulated Amortization (4.1) (2.6)   (4.1) (2.6)
Net Carrying Amount 2.2 3.7   2.2 3.7
Other          
Intangible assets subject to amortization:          
Gross Carrying Amount 1.6 1.7   1.6 1.7
Accumulated Amortization (1.0) (1.1)   (1.0) (1.1)
Net Carrying Amount $ 0.6 $ 0.6   $ 0.6 $ 0.6