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Shareholders' Equity - Schedule of Accumulated Other Comprehensive Income (Loss) (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Shareholders' equity, beginning balance $ 7,906,889 $ 6,791,203 $ 5,750,223
Other comprehensive income (loss) before reclassifications 296,333 122,826  
Amounts reclassified from accumulated other comprehensive income 2,976 4,566  
Net current-period other comprehensive income (loss) 299,309 127,392 56,994
Shareholders' equity, ending balance 9,419,091 7,906,889 6,791,203
Available- for-Sale Securities      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Shareholders' equity, beginning balance 47 238  
Other comprehensive income (loss) before reclassifications (542) (191)  
Amounts reclassified from accumulated other comprehensive income 0 0  
Net current-period other comprehensive income (loss) (542) (191)  
Shareholders' equity, ending balance (495) 47 238
Interest Rate Agreement Cash Flow Hedges      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Shareholders' equity, beginning balance 69,756 (57,827)  
Other comprehensive income (loss) before reclassifications 296,875 123,017  
Amounts reclassified from accumulated other comprehensive income 2,976 4,566  
Net current-period other comprehensive income (loss) 299,851 127,583  
Shareholders' equity, ending balance 369,607 69,756 (57,827)
Accumulated Other Comprehensive Income (Loss)      
AOCI Attributable to Parent, Net of Tax [Roll Forward]      
Shareholders' equity, beginning balance 69,803 (57,589) (114,583)
Net current-period other comprehensive income (loss) 299,309 127,392 56,994
Shareholders' equity, ending balance $ 369,112 $ 69,803 $ (57,589)