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Intangible Assets, net - Schedule of Finite-Lived Intangible Assets (Details) - USD ($) $ in Millions | 3 Months Ended | 12 Months Ended
--- | --- | ---
Dec. 30, 2023 | Sep. 30, 2023 | Dec. 30, 2023 | Dec. 31, 2022
Intangible assets subject to amortization: |  |  |  |
Gross Carrying Amount | $ 552.3 |  | $ 552.3 | $ 540.6
Accumulated Amortization | (132.4) |  | (132.4) | (80.0)
Net Carrying Amount | 419.9 |  | $ 419.9 | $ 460.6
Impairment, Intangible Asset, Indefinite-Lived (Excluding Goodwill), Statement of Income or Comprehensive Income [Extensible Enumeration] |  |  | Impairment charge | Impairment charge
Intangible assets not subject to amortization: |  |  |  |
Trademarks | 232.4 |  | $ 232.4 | $ 262.0
Intangible Assets, Net (Excluding Goodwill) [Abstract] |  |  |  |
Intangible assets, net | 652.3 |  | 652.3 | 722.6
Trademarks |  |  |  |
Intangible assets not subject to amortization: |  |  |  |
Trademarks | 242.4 |  | 242.4 | 262.0
Impairment charge | (3.0) | $ (7.0) | (10.0) | 0.0
Total trademarks | 232.4 |  | 232.4 | 262.0
Customer relationships |  |  |  |
Intangible assets subject to amortization: |  |  |  |
Gross Carrying Amount | 209.2 |  | 209.2 | 220.9
Accumulated Amortization | (31.5) |  | (31.5) | (19.3)
Net Carrying Amount | 177.7 |  | 177.7 | 201.6
Acquired technologies |  |  |  |
Intangible assets subject to amortization: |  |  |  |
Gross Carrying Amount | 174.7 |  | 174.7 | 185.3
Accumulated Amortization | (45.3) |  | (45.3) | (25.2)
Net Carrying Amount | 129.4 |  | 129.4 | 160.1
Capitalized software development costs |  |  |  |
Intangible assets subject to amortization: |  |  |  |
Gross Carrying Amount | 53.9 |  | 53.9 | 25.0
Accumulated Amortization | (15.2) |  | (15.2) | (2.9)
Net Carrying Amount | 38.7 |  | 38.7 | 22.1
Capitalized software development costs | As Previously Reported |  |  |  |
Intangible assets subject to amortization: |  |  |  |
Gross Carrying Amount |  |  |  | 5.5
Accumulated Amortization |  |  |  | (2.9)
Net Carrying Amount |  |  |  | 2.6
Licenses |  |  |  |
Intangible assets subject to amortization: |  |  |  |
Gross Carrying Amount | 39.7 |  | 39.7 | 39.0
Accumulated Amortization | (7.4) |  | (7.4) | (4.4)
Net Carrying Amount | 32.3 |  | 32.3 | 34.6
Licenses | Willow Laboratories, Inc. |  |  |  |
Intangible assets subject to amortization: |  |  |  |
Gross Carrying Amount | 7.5 |  | 7.5 | 7.5
Accumulated Amortization | (6.7) |  | (6.7) | (6.3)
Net Carrying Amount | 0.8 |  | 0.8 | 1.2
Patents |  |  |  |
Intangible assets subject to amortization: |  |  |  |
Gross Carrying Amount | 39.2 |  | 39.2 | 35.2
Accumulated Amortization | (15.2) |  | (15.2) | (13.9)
Net Carrying Amount | 24.0 |  | 24.0 | 21.3
Trademarks |  |  |  |
Intangible assets subject to amortization: |  |  |  |
Gross Carrying Amount | 20.1 |  | 20.1 | 19.8
Accumulated Amortization | (7.4) |  | (7.4) | (5.8)
Net Carrying Amount | 12.7 |  | 12.7 | 14.0
Trademarks | As Previously Reported |  |  |  |
Intangible assets subject to amortization: |  |  |  |
Gross Carrying Amount |  |  |  | 39.3
Accumulated Amortization |  |  |  | (5.8)
Net Carrying Amount |  |  |  | 33.5
Non-compete agreements |  |  |  |
Intangible assets subject to amortization: |  |  |  |
Gross Carrying Amount | 6.3 |  | 6.3 | 6.3
Accumulated Amortization | (2.6) |  | (2.6) | (1.1)
Net Carrying Amount | 3.7 |  | 3.7 | 5.2
Other |  |  |  |
Intangible assets subject to amortization: |  |  |  |
Gross Carrying Amount | 1.7 |  | 1.7 | 1.6
Accumulated Amortization | (1.1) |  | (1.1) | (1.1)
Net Carrying Amount | $ 0.6 |  | $ 0.6 | 0.5
Trademarks and Capitalized Software Development Costs | Revision of Prior Period, Reclassification, Adjustment |  |  |  |
Intangible assets subject to amortization: |  |  |  |
Net Carrying Amount |  |  |  | $ 19.5

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