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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, 2023
USD ($)
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance $ 1,276.9
Ending balance 1,254.6
Unrealized Gain (Loss) on Derivative Financial Instruments  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance 13.0
Other comprehensive income (loss) before reclassifications 23.1
Amounts reclassified from accumulated other comprehensive loss (9.1)
Ending balance 27.0
Foreign Currency Translation Adjustment  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance (57.4)
Other comprehensive income (loss) before reclassifications 25.3
Ending balance (32.1)
Other  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance (1.2)
Other comprehensive income (loss) before reclassifications (1.0)
Ending balance (2.2)
Accumulated Other Comprehensive (Loss)  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance (45.6)
Other comprehensive income (loss) before reclassifications 47.4
Amounts reclassified from accumulated other comprehensive loss (9.1)
Ending balance $ (7.3)