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Accumulated Other Comprehensive Loss - Amounts Reclassified out of AOCL (Detail) - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended
May 31, 2025
May 31, 2024
May 31, 2025
May 31, 2024
Reclassification Adjustment out of Accumulated Other Comprehensive Income on Derivatives [Line Items]        
Interest and foreign exchange $ 13.2 $ 24.7 $ 58.3 $ 72.5
Total before tax (79.4) (47.6) (229.7) (128.2)
Income tax expense 18.1 10.7 71.5 30.0
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 (4.3) (5.4) (12.9) (14.8)
Income tax expense 0.9 1.2 2.6 3.1
Net of tax (3.4) (4.2) (10.3) (11.7)
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 (1.4) (1.1) (3.0) (2.0)
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 $ (2.9) $ (4.3) $ (9.9) $ (12.8)