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Goodwill and Other Intangibles - Schedule of other intangible assets subject to amortization (Details) - USD ($) $ in Millions | 3 Months Ended | 12 Months Ended
--- | --- | ---
Aug. 31, 2025 | Aug. 31, 2024 | May 31, 2025
Finite-lived Intangible Assets [Roll Forward] |  |  |
Beginning balance other intangibles subject to amortization | $ 85.8 | $ 8.2 | $ 8.2
Additions | 0.0 | 85.3 | 85.3
Amortization expense | (2.8) | (2.4) | (11.2)
Foreign currency translation | 1.5 | 1.5 | 3.5
Total other intangibles subject to amortization, net of accumulated amortization of $24.8, $24.1 and $22.5, respectively | 84.5 | 92.6 | 85.8
Accumulated amortization of intangible assets | 53.1 | 41.5 | 50.3
Total other intangibles not subject to amortization | 2.1 | 2.1 | 2.1
Total other intangibles | $ 86.6 | $ 94.7 | $ 87.9

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