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Intangibles and Other Assets, Net - Identifiable Intangible and Other Assets (Detail) - USD ($)
$ in Millions
Feb. 28, 2022
Aug. 31, 2021
Intangibles and Other Assets by Major Class [Line Items]    
Finite-Lived Intangible Assets, Net, Total $ 49.7 $ 53.0
Intangible assets not subject to amortization 2.4 2.4
Prepaid and other assets 30.0 26.7
Operating lease ROU assets 40.2 39.8
Nonqualified savings plan investments 46.9 47.7
Debt issuance costs, net 8.6 8.6
Assets held for sale 1.8 5.4
Total Intangible and other assets, net 179.6 183.6
Customer Relationships    
Intangibles and Other Assets by Major Class [Line Items]    
Finite lived intangible assets gross 89.8 89.8
Accumulated amortization (66.9) (64.1)
Other Intangible Assets    
Intangibles and Other Assets by Major Class [Line Items]    
Finite lived intangible assets gross 41.2 40.3
Accumulated amortization $ (14.4) $ (13.0)