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Accumulated Other Comprehensive Loss - Amounts Reclassified out of Accumulated Other Comprehensive Loss (Detail) - USD ($)
$ in Millions
 3 Months Ended
Nov. 30, 2021
Nov. 30, 2020
Reclassification Adjustment out of Accumulated Other Comprehensive Income on Derivatives [Line Items]    
Interest and foreign exchange $ 12.6 $ 11.1
Total before tax 0.8 13.2
Income tax expense (1.4) (7.3)
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 1.5 1.6
Income tax expense (0.5) (0.4)
Net of tax 1.0 1.2
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 1.3 1.3
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 $ 0.2 $ 0.3