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Revenue Recognition - Summary of Contract Balances (Detail) - USD ($)
$ in Millions
3 Months Ended
Nov. 30, 2022
Aug. 31, 2022
Contract With Customer Asset And Liability [Line Items]    
Contract liabilities [1] $ 49.2 $ 30.5
Change in contract liabilities [1] 18.7  
Accounts Receivable, Net    
Contract With Customer Asset And Liability [Line Items]    
Contract assets 1.0 13.0
Change in contract assets (12.0)  
Inventories    
Contract With Customer Asset And Liability [Line Items]    
Contract assets 7.5 $ 6.0
Change in contract assets $ 1.5  
[1] Contract liabilities balance includes deferred revenue within the scope of Revenue from Contracts with Customers (Topic 606).