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Accumulated Other Comprehensive Loss - Amounts Reclassified out of AOCL (Detail) - USD ($)
$ in Millions
 3 Months Ended 6 Months Ended
Feb. 28, 2025
Feb. 29, 2024
Feb. 28, 2025
Feb. 29, 2024
Reclassification Adjustment out of Accumulated Other Comprehensive Income on Derivatives [Line Items]        
Interest and foreign exchange $ 21.7 $ 24.6 $ 45.1 $ 47.8
Total before tax (61.9) (38.9) (150.3) (80.6)
Income tax expense 20.0 9.3 53.4 19.3
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 (4.2) (5.0) (8.6) (9.4)
Income tax expense 0.8 1.0 1.7 1.9
Net of tax (3.4) (4.0) (6.9) (7.5)
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 (1.1) (0.8) (1.5) (0.9)
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 $ (3.1) $ (4.2) $ (7.1) $ (8.5)