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Significant Accounting and Reporting Policies - Schedule of Finite-Lived Intangible Assets by Major Class (Details) - USD ($) $ in Millions | Jun. 03, 2023 | May 28, 2022
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Finite-LIved Intangible Assets |  |
Gross carrying value | $ 498.3 | $ 497.1
Accumulated amortization | 173.6 | 134.7
Impairment | 11.6 |
Net | $ 313.1 | 362.4
Minimum |  |
Finite-LIved Intangible Assets |  |
Remaining useful lives | 1 year |
Maximum |  |
Finite-LIved Intangible Assets |  |
Remaining useful lives | 20 years |
Patent and Trademarks |  |
Finite-LIved Intangible Assets |  |
Gross carrying value | $ 60.1 | 57.9
Accumulated amortization | 30.8 | 24.7
Impairment | 11.6 |
Net | $ 17.7 | 33.2
Remaining useful lives | 3 years 7 months 6 days |
Customer Relationships |  |
Finite-LIved Intangible Assets |  |
Gross carrying value | $ 355.1 | 355.8
Accumulated amortization | 95.8 | 66.0
Impairment | 0.0 |
Net | $ 259.3 | 289.8
Remaining useful lives | 9 years 7 months 6 days |
Designs and Patterns |  |
Finite-LIved Intangible Assets |  |
Gross carrying value | $ 42.0 | 42.0
Accumulated amortization | 9.2 | 5.9
Impairment | 0.0 |
Net | 32.8 | 36.1
Backlog |  |
Finite-LIved Intangible Assets |  |
Gross carrying value | 28.4 | 29.8
Accumulated amortization | 28.4 | 29.8
Impairment | 0.0 |
Net | 0.0 | 0.0
Other |  |
Finite-LIved Intangible Assets |  |
Gross carrying value | 12.7 | 11.6
Accumulated amortization | 9.4 | 8.3
Impairment | 0.0 |
Net | $ 3.3 | $ 3.3

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