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Significant Accounting and Reporting Policies - Schedule of Finite-Lived Intangible Assets by Major Class (Details) - USD ($) $ in Millions | Jun. 01, 2024 | Jun. 03, 2023
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Finite-LIved Intangible Assets |  |
Gross carrying value | $ 502.7 | $ 498.3
Accumulated amortization | 223.4 | 173.6
Impairment |  | 11.6
Net | $ 279.3 | 313.1
Minimum |  |
Finite-LIved Intangible Assets |  |
Remaining useful lives | 3 years |
Maximum |  |
Finite-LIved Intangible Assets |  |
Remaining useful lives | 20 years |
Patent and Trademarks |  |
Finite-LIved Intangible Assets |  |
Gross carrying value | $ 62.6 | 60.1
Accumulated amortization | 46.9 | 30.8
Impairment |  | 11.6
Net | $ 15.7 | 17.7
Remaining useful lives | 3 years 1 month 6 days |
Customer Relationships |  |
Finite-LIved Intangible Assets |  |
Gross carrying value | $ 356.6 | 355.1
Accumulated amortization | 125.4 | 95.8
Impairment |  | 0.0
Net | $ 231.2 | 259.3
Remaining useful lives | 8 years 7 months 6 days |
Designs and Patterns |  |
Finite-LIved Intangible Assets |  |
Gross carrying value | $ 42.1 | 42.0
Accumulated amortization | 12.5 | 9.2
Impairment |  | 0.0
Net | 29.6 | 32.8
Backlog |  |
Finite-LIved Intangible Assets |  |
Gross carrying value | 28.3 | 28.4
Accumulated amortization | 28.3 | 28.4
Impairment |  | 0.0
Net | 0.0 | 0.0
Other |  |
Finite-LIved Intangible Assets |  |
Gross carrying value | 13.1 | 12.7
Accumulated amortization | 10.3 | 9.4
Impairment |  | 0.0
Net | $ 2.8 | $ 3.3

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