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Accumulated Other Comprehensive Loss - Amounts Reclassified out of Accumulated Other Comprehensive Loss (Detail) - USD ($)
$ in Millions
 3 Months Ended
Nov. 30, 2023
Nov. 30, 2022
Reclassification Adjustment out of Accumulated Other Comprehensive Income on Derivatives [Line Items]    
Interest and foreign exchange $ 23.2 $ 19.6
Total before tax (41.7) 24.4
Tax expense 10.0 (3.8)
Unrealized (Gain) Loss on Derivative Financial Instruments | Reclassification out of Accumulated Other Comprehensive loss    
Reclassification Adjustment out of Accumulated Other Comprehensive Income on Derivatives [Line Items]    
Total before tax (4.4) (0.8)
Tax expense 0.9 0.3
Net of tax (3.5) (0.5)
Unrealized (Gain) Loss on Derivative Financial Instruments | Reclassification out of Accumulated Other Comprehensive loss | Foreign Exchange Contracts    
Reclassification Adjustment out of Accumulated Other Comprehensive Income on Derivatives [Line Items]    
Revenue and Cost of revenue 0.1 0.2
Unrealized (Gain) Loss on Derivative Financial Instruments | Reclassification out of Accumulated Other Comprehensive loss | Interest rate swap contracts    
Reclassification Adjustment out of Accumulated Other Comprehensive Income on Derivatives [Line Items]    
Interest and foreign exchange $ (4.3) $ (1.0)