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Goodwill and Other Intangible Assets - Additional Information (Details) - USD ($) |  | 3 Months Ended | 9 Months Ended |  |
--- | --- | --- | --- | --- | ---
Jun. 01, 2023 | Feb. 29, 2024 | Aug. 31, 2023 | Feb. 28, 2023 | Feb. 29, 2024 | Feb. 28, 2023 | May 31, 2023 | May 31, 2022
Goodwill And Intangible Assets [Line Items] |  |  |  |  |  |  |  |
Accumulated goodwill impairment losses |  | $ 193,000,000 |  | $ 193,000,000 | $ 193,000,000 | $ 193,000,000 |  |
Goodwill impairment losses |  | 0 |  | 36,745,000 | 0 | 36,745,000 |  |
Loss on sale of Bridgecare services division |  |  |  | 24,700,000 |  |  |  |
Goodwill |  | 1,309,744,000 |  | 1,288,071,000 | 1,309,744,000 | 1,288,071,000 | $ 1,293,588,000 | $ 1,337,868,000
Impairment of our long-lived assets |  |  |  | 0 |  | 0 |  |
Universal Sealants |  |  |  |  |  |  |  |
Goodwill And Intangible Assets [Line Items] |  |  |  |  |  |  |  |
Goodwill impairment losses |  |  |  | 36,700,000 |  | 36,700,000 |  |
Impairments for definite-lived long-lived assets |  |  |  |  |  | 0 |  |
Goodwill |  |  |  | 1,100,000 |  | 1,100,000 |  |
Universal Sealants | Trade names |  |  |  |  |  |  |  |
Goodwill And Intangible Assets [Line Items] |  |  |  |  |  |  |  |
Impairment of indefinite-lived assets |  |  |  | 2,500,000 |  | 2,500,000 |  |
Universal Sealants | USL Restructuring |  |  |  |  |  |  |  |
Goodwill And Intangible Assets [Line Items] |  |  |  |  |  |  |  |
Loss on sale of Bridgecare services division |  |  | $ 4,500,000 |  |  |  |  |
SPG Segments |  |  |  |  |  |  |  |
Goodwill And Intangible Assets [Line Items] |  |  |  |  |  |  |  |
Accumulated goodwill impairment losses |  | 141,400,000 |  |  | 141,400,000 |  |  |
Goodwill |  | 150,397,000 |  | 150,141,000 | 150,397,000 | 150,141,000 | 150,074,000 | 166,805,000
CPG Segment |  |  |  |  |  |  |  |
Goodwill And Intangible Assets [Line Items] |  |  |  |  |  |  |  |
Accumulated goodwill impairment losses |  | 14,900,000 |  |  | 14,900,000 |  |  |
Goodwill transferred |  |  |  |  | (11,414,000) |  |  |
Goodwill |  | 453,378,000 |  | 446,505,000 | 453,378,000 | 446,505,000 | 450,555,000 | 453,651,000
PCG Segment |  |  |  |  |  |  |  |
Goodwill And Intangible Assets [Line Items] |  |  |  |  |  |  |  |
Accumulated goodwill impairment losses |  | 36,700,000 |  |  | 36,700,000 |  |  |
Goodwill transferred | $ 11,400,000 |  |  |  | 11,414,000 |  |  |
Goodwill impairment losses |  |  |  | 36,700,000 |  | 36,745,000 |  |
Goodwill |  | $ 173,637,000 |  | $ 162,240,000 | $ 173,637,000 | $ 162,240,000 | $ 161,732,000 | $ 201,815,000
PCG Segment | Trade names | Other Restructuring Costs |  |  |  |  |  |  |  |
Goodwill And Intangible Assets [Line Items] |  |  |  |  |  |  |  |
Impairment of indefinite-lived assets |  |  | $ 3,300,000 |  |  |  |  |
PCG Segment | Universal Sealants |  |  |  |  |  |  |  |
Goodwill And Intangible Assets [Line Items] |  |  |  |  |  |  |  |
Percentage of annual revenue |  |  |  | 30.00% |  |  |  |

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