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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, 2024
Nov. 30, 2023
Reclassification Adjustment out of Accumulated Other Comprehensive Income on Derivatives [Line Items]    
Interest and foreign exchange $ 23.4 $ 23.2
Total before tax (88.4) (41.7)
Income tax expense 33.4 10.0
Unrealized Gain 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) (4.4)
Income tax expense 0.9 0.9
Net of tax (3.5) (3.5)
Unrealized Gain 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 (0.4) (0.1)
Unrealized Gain 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 $ (4.0) $ (4.3)