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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, 2022
USD ($)
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance $ 1,307.7
Ending balance 1,276.9
Unrealized Gain (Loss) on Derivative Financial Instruments  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance (7.4)
Other comprehensive income (loss) before reclassifications 15.7
Amounts reclassified from accumulated other comprehensive loss 4.7
Ending balance 13.0
Foreign Currency Translation Adjustment  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance (35.8)
Other comprehensive income (loss) before reclassifications (21.6)
Ending balance (57.4)
Other  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance (0.5)
Other comprehensive income (loss) before reclassifications (0.7)
Ending balance (1.2)
Accumulated Other Comprehensive (Loss)  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance (43.7)
Other comprehensive income (loss) before reclassifications (6.6)
Amounts reclassified from accumulated other comprehensive loss 4.7
Ending balance $ (45.6)