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Property, Plant and Equipment - Narrative (Details) - USD ($) $ in Millions | 3 Months Ended | 12 Months Ended
--- | --- | ---
May 31, 2022 | Nov. 30, 2021 | Feb. 28, 2021 | Aug. 31, 2020 | May 31, 2023 | May 31, 2022 | May 31, 2021
Property, Plant and Equipment [Line Items] |  |  |  |  |  |  |
Depreciation and amortization expense |  |  |  |  | $ 52.5 | $ 54.8 | $ 58.3
Cloud computing amortization |  |  |  |  | 6.3 | 3.9 | 0.7
Asset impairments and write downs |  |  |  |  | 0.0 | 0.4 | 11.1
Long-lived assets | $ 456.7 |  |  |  | $ 458.7 | 456.7 |
Land, Buildings and Improvements |  |  |  |  |  |  |
Property, Plant and Equipment [Line Items] |  |  |  |  |  |  |
Long-lived assets | 2.1 | $ 4.2 | $ 1.3 | $ 5.7 |  | $ 2.1 |
Proceeds from sale of assets | 5.6 | 10.4 | 5.1 | 12.3 |  |  |
Gain (loss) on disposition of property plant equipment | $ 3.5 | $ 6.2 | $ 3.8 | $ 6.6 |  |  |
Building and leasehold improvements |  |  |  |  |  |  |
Property, Plant and Equipment [Line Items] |  |  |  |  |  |  |
Asset impairments and write downs |  |  |  |  |  |  | $ 1.5

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