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Accumulated Other Comprehensive Loss - Components of Accumulated Other Comprehensive Loss, Net of Tax (Detail)
$ in Millions
 9 Months Ended
May 31, 2023
USD ($)
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance $ 1,276.9
Ending balance 1,232.7
Unrealized Gain (Loss) on Derivative Financial Instruments  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance 13.0
Other comprehensive gain before reclassifications 9.8
Amounts reclassified from Accumulated other comprehensive loss (4.8)
Ending balance 18.0
Foreign Currency Translation Adjustment  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance (57.4)
Other comprehensive gain before reclassifications 16.9
Ending balance (40.5)
Other  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance (1.2)
Other comprehensive gain before reclassifications 0.1
Ending balance (1.1)
Accumulated Other Comprehensive (Loss)  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance (45.6)
Other comprehensive gain before reclassifications 26.8
Amounts reclassified from Accumulated other comprehensive loss (4.8)
Ending balance $ (23.6)