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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

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