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Accumulated Other Comprehensive Loss - Components of Accumulated Other Comprehensive Loss (AOCL), Net of Tax (Detail)
$ in Millions
 9 Months Ended
May 31, 2025
USD ($)
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance $ 1,536.6
Ending balance 1,669.8
Unrealized Gain (Loss) on Derivative Financial Instruments  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance 15.2
Other comprehensive gain before reclassifications 10.0
Amounts reclassified from AOCL (10.3)
Ending balance 14.9
Foreign Currency Translation Adjustment  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance (47.0)
Other comprehensive gain before reclassifications 3.9
Ending balance (43.1)
Other  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance (2.2)
Other comprehensive gain before reclassifications 0.8
Ending balance (1.4)
AOCL  
Accumulated Other Comprehensive Income (Loss) [Line Items]  
Beginning balance (34.0)
Other comprehensive gain before reclassifications 14.7
Amounts reclassified from AOCL (10.3)
Ending balance $ (29.6)