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Reclassifications out of Accumulated Other Comprehensive Loss (Details) - USD ($)
$ in Thousands
 12 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2022
Accumulated balances      
Balance at the beginning of the period $ (926,577)    
Balance at the end of the period (882,671) $ (926,577)  
Pension Related Adjustments      
Accumulated balances      
Balance at the beginning of the period (226,000) (217,300) $ (316,200)
Other comprehensive income (loss) before reclassification (26,600) (10,900) 89,900
Amounts reclassified from accumulated other comprehensive loss 600 2,200 9,000
Balance at the end of the period (252,000) (226,000) (217,300)
Foreign Currency Translation Adjustments      
Accumulated balances      
Balance at the beginning of the period (739,700) (799,300) (580,100)
Other comprehensive income (loss) before reclassification 93,200 59,600 (238,700)
Amounts reclassified from accumulated other comprehensive loss     19,500
Balance at the end of the period (646,500) (739,700) (799,300)
Loss on Derivative Instruments      
Accumulated balances      
Balance at the beginning of the period 39,100 36,900 (4,100)
Other comprehensive income (loss) before reclassification (10,600) 10,700 37,900
Amounts reclassified from accumulated other comprehensive loss (12,700) (8,500) 3,100
Balance at the end of the period 15,800 39,100 36,900
Accumulated Other Comprehensive Loss      
Accumulated balances      
Balance at the beginning of the period (926,600) (979,700) (900,400)
Other comprehensive income (loss) before reclassification 56,000 59,400 (110,900)
Amounts reclassified from accumulated other comprehensive loss (12,100) (6,300) 31,600
Balance at the end of the period $ (882,700) $ (926,600) $ (979,700)