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Derivative Instruments - Additional Information (Detail)
$ in Millions
6 Months Ended
Feb. 28, 2023
USD ($)
Foreign Exchange Contracts  
Derivative [Line Items]  
Aggregate derivative notional amount $ 89.1
Amount reclassified to revenue or cost of revenue in the next year (0.4)
Interest rate swap contracts  
Derivative [Line Items]  
Unrealized pre-tax gain (loss) that would be reclassified to interest expense in the next year 13.5
Interest rate swap contracts | Derivatives maturing from September 2023 through January 2032  
Derivative [Line Items]  
Aggregate derivative notional amount $ 468.4
Interest rate swap contracts | Derivatives maturing from September 2023 through January 2032 | Minimum  
Derivative [Line Items]  
Maturity date 2023-09
Interest rate swap contracts | Derivatives maturing from September 2023 through January 2032 | Maximum  
Derivative [Line Items]  
Maturity date 2032-01