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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, 2022
Aug. 31, 2021
Aug. 31, 2020
Reclassification Adjustment out of Accumulated Other Comprehensive Income on Derivatives [Line Items]      
Interest and foreign exchange $ 57.4 $ 43.3 $ 43.6
Total before tax (60.6) 8.6 (124.8)
Tax expense 18.1 (40.2) $ 40.2
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 6.1 6.7  
Tax expense (1.4) (1.7)  
Net of tax 4.7 5.0  
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 1.2 1.4  
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 $ 4.9 $ 5.3