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Intangibles and Other Assets, Net - Identifiable Intangibles and Other Assets, Net (Detail) - USD ($) $ in Millions | Feb. 29, 2024 | Aug. 31, 2023
--- | --- | ---
Intangibles and Other Assets by Major Class [Line Items] |  |
Finite-Lived Intangible Assets, Net, Total | $ 34.9 | $ 39.1
Intangible assets not subject to amortization | 2.3 | 2.3
Prepaid and other assets | 50.5 | 56.4
Operating lease ROU assets | $ 70.7 | $ 70.6
Operating Lease, Right-of-Use Asset, Statement of Financial Position [Extensible Enumeration] | Total Intangibles and other assets, net | Total Intangibles and other assets, net
Nonqualified savings plan investments | $ 56.4 | $ 47.7
Debt issuance costs, net | 6.4 | 6.3
Assets held for sale | 0.3 | 0.3
Deferred tax assets | 34.1 | 33.1
Total Intangibles and other assets, net | 255.6 | 255.8
Customer Relationships |  |
Intangibles and Other Assets by Major Class [Line Items] |  |
Finite lived intangible assets gross | 87.5 | 87.5
Accumulated amortization | (70.6) | (69.1)
Other Intangible Assets |  |
Intangibles and Other Assets by Major Class [Line Items] |  |
Finite lived intangible assets gross | 41.8 | 43.0
Accumulated amortization | $ (23.8) | $ (22.3)

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