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Summary of Significant Accounting Policies - Components of Accumulated Other Comprehensive Loss, Net of Tax (Detail)
$ in Millions
 12 Months Ended
Aug. 31, 2024
USD ($)
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance $ 1,254.6
Ending balance 1,376.1
Unrealized Gain (Loss) on Derivative Financial Instruments  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance 27.0
Other comprehensive income (loss) before reclassifications 2.9
Amounts reclassified from accumulated other comprehensive loss (14.7)
Ending balance 15.2
Foreign Currency Translation Adjustment  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance (32.1)
Other comprehensive income (loss) before reclassifications (14.9)
Ending balance (47.0)
Other  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance (2.2)
Ending balance (2.2)
Accumulated Other Comprehensive (Loss)  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance (7.3)
Other comprehensive income (loss) before reclassifications (12.0)
Amounts reclassified from accumulated other comprehensive loss (14.7)
Ending balance $ (34.0)