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Derivative Instruments - Effect of Derivative Instruments on Statements of Income (Detail) - Cash Flow Hedging - USD ($)
$ in Millions
3 Months Ended
Nov. 30, 2024
Nov. 30, 2023
Derivative Instruments, Gain (Loss) [Line Items]    
Gain (loss) recognized in OCI on derivatives $ 9.2 $ 5.3
Gain (loss) reclassified from accumulated OCI into income 4.4 4.4
Gain (loss) recognized on derivative (amount excluded from effectiveness testing) 0.8 0.9
Foreign Exchange Contracts    
Derivative Instruments, Gain (Loss) [Line Items]    
Gain (loss) recognized in income on derivatives $ (0.1) $ 0.2
Derivative, Gain (Loss), Statement of Income or Comprehensive Income [Extensible Enumeration] Interest And Foreign Exchange Net Interest And Foreign Exchange Net
Foreign Exchange Contracts | Sales    
Derivative Instruments, Gain (Loss) [Line Items]    
Gain (loss) recognized in OCI on derivatives $ (1.3) $ 2.4
Gain (loss) reclassified from accumulated OCI into income 0.5 0.2
Gain (loss) recognized on derivative (amount excluded from effectiveness testing) $ 0.8 $ 0.6
Derivative Instrument, Gain (Loss) Reclassified from AOCI into Income, Effective Portion, Statement of Income or Comprehensive Income [Extensible Enumeration] Revenue from Contract with Customer, Excluding Assessed Tax Revenue from Contract with Customer, Excluding Assessed Tax
Foreign Exchange Contracts | Cost Of Revenue    
Derivative Instruments, Gain (Loss) [Line Items]    
Gain (loss) recognized in OCI on derivatives $ (0.4) $ (0.2)
Gain (loss) reclassified from accumulated OCI into income $ (0.1) (0.1)
Gain (loss) recognized on derivative (amount excluded from effectiveness testing)   $ 0.3
Derivative Instrument, Gain (Loss) Reclassified from AOCI into Income, Effective Portion, Statement of Income or Comprehensive Income [Extensible Enumeration] Cost of Revenue Cost of Revenue
Interest rate swap contracts    
Derivative Instruments, Gain (Loss) [Line Items]    
Gain (loss) recognized in OCI on derivatives $ 10.9 $ 3.1
Gain (loss) reclassified from accumulated OCI into income $ 4.0 $ 4.3
Derivative Instrument, Gain (Loss) Reclassified from AOCI into Income, Effective Portion, Statement of Income or Comprehensive Income [Extensible Enumeration] Interest And Foreign Exchange Net Interest And Foreign Exchange Net