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Accumulated Other Comprehensive Loss - Amounts Reclassified out of Accumulated Other Comprehensive Loss (Detail) - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended
May 31, 2024
May 31, 2023
May 31, 2024
May 31, 2023
Reclassification Adjustment out of Accumulated Other Comprehensive Income on Derivatives [Line Items]        
Interest and foreign exchange $ 24.7 $ 22.8 $ 72.5 $ 64.0
Total before tax (47.6) (27.9) (128.2) (49.3)
Income tax expense 10.7 3.6 30.0 11.7
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 (5.4) (3.9) (14.8) (7.0)
Income tax expense 1.2 1.2 3.1 2.2
Net of tax (4.2) (2.7) (11.7) (4.8)
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 (1.1) (0.5) (2.0) (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) $ (3.4) $ (12.8) $ (6.8)