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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, 2023
USD ($)
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance $ 1,254.6
Ending balance 1,274.0
Unrealized Gain (Loss) on Derivative Financial Instruments  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance 27.0
Other comprehensive gain before reclassifications 4.3
Amounts reclassified from Accumulated other comprehensive loss (3.5)
Ending balance 27.8
Foreign Currency Translation Adjustment  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance (32.1)
Ending balance (32.1)
Other  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance (2.2)
Other comprehensive gain before reclassifications 0.1
Ending balance (2.1)
Accumulated Other Comprehensive Loss  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance (7.3)
Other comprehensive gain before reclassifications 4.4
Amounts reclassified from Accumulated other comprehensive loss (3.5)
Ending balance $ (6.4)