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Accumulated Other Comprehensive Loss - Components of Accumulated Other Comprehensive Loss, Net of Tax (Detail)
$ in Millions
 3 Months Ended
Nov. 30, 2022
USD ($)
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance $ 1,276.9
Ending balance 1,265.8
Unrealized Gain (Loss) on Derivative Financial Instruments  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance 13.0
Other comprehensive gain before reclassifications 8.9
Amounts reclassified from Accumulated other comprehensive loss (0.5)
Ending balance 21.4
Foreign Currency Translation Adjustment  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance (57.4)
Other comprehensive gain before reclassifications 5.5
Ending balance (51.9)
Other  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance (1.2)
Ending balance (1.2)
Accumulated Other Comprehensive (Loss)  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance (45.6)
Other comprehensive gain before reclassifications 14.4
Amounts reclassified from Accumulated other comprehensive loss (0.5)
Ending balance $ (31.7)