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Summary of Significant Accounting Policies - Hedging Activities (Details)
$ in Thousands, € in Millions
3 Months Ended 6 Months Ended
Feb. 01, 2023
USD ($)
$ / €
Mar. 31, 2023
USD ($)
Mar. 31, 2022
USD ($)
Mar. 31, 2023
USD ($)
Mar. 31, 2022
USD ($)
Feb. 01, 2023
EUR (€)
$ / €
Feb. 01, 2022
USD ($)
Feb. 01, 2022
EUR (€)
Derivative [Line Items]                
Net investment hedge currency translation adjustment, net of tax effect   $ (13,133) $ 7,149 $ (70,260) $ 7,149      
Interest income   10,394 $ 3,076 21,059 $ 3,111      
Currency Swap | Designated as Hedging Instrument                
Derivative [Line Items]                
Derivative, notional amount, cross-currency swap, exchanged $ 436,000           $ 1,030,000  
Derivative, notional amount, cross-currency swap, received | €           € 400   € 915
Derivative, notional amount             $ 960,000  
Derivative, fixed interest rate (as a percent)             1.283% 1.283%
Derivative, notional amount, cross-currency swap, maturity, deliver | €           € 852    
Derivative, notional amount, cross-currency swap, maturity, receive $ 960,000              
Derivative, forward exchange rate | $ / € 1.1261         1.1261    
Gain on derivative $ 29,300              
Gain (loss) to accumulated other comprehensive income   (13,100)   (70,300)        
Interest income   $ 2,200   $ 5,300        
Currency Swap | Designated as Hedging Instrument | Weighted Average                
Derivative [Line Items]                
Derivative, variable interest rate 1.66%         1.66% 1.196% 1.196%