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Intangibles and Other Assets, Net - Identifiable Intangible and Other Assets (Detail) - USD ($)
$ in Millions
May 31, 2023
Aug. 31, 2022
Intangibles and Other Assets by Major Class [Line Items]    
Finite-Lived Intangible Assets, Net, Total $ 41.0 $ 47.3
Intangible assets not subject to amortization 2.4 2.4
Prepaid and other assets 47.5 32.4
Operating lease ROU assets $ 74.3 $ 54.2
Operating Lease, Right-of-Use Asset, Statement of Financial Position [Extensible Enumeration] Total Intangible and other assets, net Total Intangible and other assets, net
Nonqualified savings plan investments $ 43.8 $ 40.3
Debt issuance costs, net 6.3 8.7
Assets held for sale 0.3 3.8
Deferred tax assets 37.7  
Total Intangible and other assets, net 253.3 189.1
Customer Relationships    
Intangibles and Other Assets by Major Class [Line Items]    
Finite lived intangible assets gross 87.5 87.5
Accumulated amortization (68.4) (66.1)
Other Intangible Assets    
Intangibles and Other Assets by Major Class [Line Items]    
Finite lived intangible assets gross 42.5 42.4
Accumulated amortization $ (20.6) $ (16.5)