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Derivative Instruments and Hedging Activities (Narrative) (Details)
$ in Thousands
12 Months Ended
Sep. 30, 2024
USD ($)
Sep. 30, 2023
USD ($)
Sep. 30, 2022
USD ($)
May 31, 2020
USD ($)
Swap
Loan
Sep. 23, 2016
EUR (€)
Derivative Instruments Gain Loss [Line Items]          
Amount of (Gain) Loss Reclassified from Accumulated OCI into Earnings $ (23,093) $ (33,224) $ 68,880    
Remaining unrecognized gains (losses) associated with derivative instruments included in AOCI $ (5,160) (9,701)      
2016 Note Purchase Agreements [Member]          
Derivative Instruments Gain Loss [Line Items]          
Issuance date Sep. 23, 2016        
Face amount | €         € 160,000,000
Series M Notes [Member]          
Derivative Instruments Gain Loss [Line Items]          
Face amount | €         € 40,000,000
Maturity date Sep. 23, 2026        
Gain (Loss) on foreign currency transaction designated as a hedge of a net investment in a foreign subsidiary $ (2,381) (3,090) 7,206    
2020 Fixed-Rate Cross-Currency Swaps [Member]          
Derivative Instruments Gain Loss [Line Items]          
Derivative, notional amount 400,000     $ 400,000  
2020 Fixed-Rate Cross-Currency Swaps [Member] | Not Designated as Hedging Instrument, Economic Hedge [Member]          
Derivative Instruments Gain Loss [Line Items]          
Derivative, number of instruments | Swap       5  
2020 Floating-Rate Cross-Currency Swap [Member]          
Derivative Instruments Gain Loss [Line Items]          
Derivative, notional amount       $ 45,000  
Fixed-Rate Cross Currency Interest Rate Contract [Member] | Cash Flow Hedging          
Derivative Instruments Gain Loss [Line Items]          
Amount of (Gain) Loss Reclassified from Accumulated OCI into Earnings $ (23,093) $ (32,285) $ 66,036    
Fixed-Rate Cross Currency Interest Rate Contract [Member] | Designated as Hedging Instrument | Cash Flow Hedging          
Derivative Instruments Gain Loss [Line Items]          
Derivative, number of instruments | Loan       5