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Derivative Instruments - Effect of Derivative Instruments on Statements of Income (Detail) - Cash Flow Hedging - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended
May 31, 2025
May 31, 2024
May 31, 2025
May 31, 2024
Derivative Instruments, Gain (Loss) [Line Items]        
Gain (loss) recognized in OCI on derivatives $ (2.1) $ 8.1 $ 12.8 $ 17.0
Gain (loss) reclassified from accumulated OCI into income 4.3 5.4 12.9 14.8
Gain (loss) recognized on derivative (amount excluded from effectiveness testing) 0.8 0.8 0.2 2.6
Foreign Exchange Contracts        
Derivative Instruments, Gain (Loss) [Line Items]        
Gain (loss) recognized in income on derivatives     $ (0.3) $ 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 (1.5) 0.9 $ 1.6 $ 3.8
Gain (loss) reclassified from accumulated OCI into income 1.5 0.9 3.1 1.9
Gain (loss) recognized on derivative (amount excluded from effectiveness testing) $ 0.8 $ 0.6 $ 0.2 $ 1.8
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 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 $ 0.2 $ 0.3 $ 0.0 $ 0.3
Gain (loss) reclassified from accumulated OCI into income 0.0 0.2 (0.1) 0.1
Gain (loss) recognized on derivative (amount excluded from effectiveness testing) $ 0.0 $ 0.2 $ 0.0 $ 0.8
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 Cost of Revenue Cost of Revenue
Interest rate swap contracts        
Derivative Instruments, Gain (Loss) [Line Items]        
Gain (loss) recognized in OCI on derivatives $ (0.8) $ 6.9 $ 11.2 $ 12.9
Gain (loss) reclassified from accumulated OCI into income 2.8 4.3 9.9 12.8
Gain (loss) recognized on derivative (amount excluded from effectiveness testing) $ 0.0 $ 0.0 $ 0.0 $ 0.0
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 Interest And Foreign Exchange Net Interest And Foreign Exchange Net