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Accumulated Other Comprehensive Loss - Components of Accumulated Other Comprehensive Loss, Net of Tax (Detail)
$ in Millions
 9 Months Ended
May 31, 2024
USD ($)
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance $ 1,254.6
Ending balance 1,329.1
Unrealized Gain (Loss) on Derivative Financial Instruments  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance 27.0
Other comprehensive gain (loss) before reclassifications 13.5
Amounts reclassified from Accumulated other comprehensive loss (11.7)
Ending balance 28.8
Foreign Currency Translation Adjustment  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance (32.1)
Other comprehensive gain (loss) before reclassifications (3.1)
Ending balance (35.2)
Other  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance (2.2)
Other comprehensive gain (loss) before reclassifications 0.6
Ending balance (1.6)
Accumulated Other Comprehensive Loss  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance (7.3)
Other comprehensive gain (loss) before reclassifications 11.0
Amounts reclassified from Accumulated other comprehensive loss (11.7)
Ending balance $ (8.0)