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Summary of Significant Accounting Policies - Amounts Reclassified out of Accumulated Other Comprehensive Loss (Detail) - USD ($)
$ in Millions
 12 Months Ended
Aug. 31, 2024
Aug. 31, 2023
Aug. 31, 2022
Reclassification Adjustment out of Accumulated Other Comprehensive Income on Derivatives [Line Items]      
Interest and foreign exchange $ 100.8 $ 85.4 $ 57.4
Total before tax (223.7) (91.0) (60.6)
Tax expense (benefit) 62.0 24.6 18.1
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 (18.7) (12.8) 6.1
Tax expense (benefit) 4.0 3.7 (1.4)
Net of tax (14.7) (9.1) 4.7
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 (2.0) (2.0) 1.2
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 $ (16.7) $ (10.8) $ 4.9