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Fair Value Measurements - Investments by Contractual Maturity Date (Details) - USD ($)
$ in Thousands
Mar. 31, 2024
Sep. 30, 2023
Amortized Cost, Available-for-sale securities    
Amortized cost $ 2,523,136 $ 2,118,616
Gross Unrealized Gains / Losses, Available-for-sale securities    
Gross unrealized gains 4,261 2,910
Gross unrealized loss (89,283) (126,429)
Fair Value, Available-for-sale securities    
Fair value $ 2,438,114 $ 1,995,097
Yield, Available-for-sale securities    
Yield 4.76% 4.64%
Amortized Cost, Held-to-maturity securities    
Held-to-maturity securities $ 457,882 $ 423,586
Gross Unrealized Gains / Losses, Held-to-maturity securities    
Held-to-maturity securities, gross unrealized gains 23 0
Held-to-maturity securities, gross unrealized losses (50,444) (68,398)
Fair Value, Held-to-maturity securities    
Held-to-maturity securities, fair value $ 407,461 $ 355,188
Yield, Held-to-maturity securities    
Held-to-maturity securities, yield 3.17% 2.88%
Investments $ 2,981,018 $ 2,542,202
Gross unrealized gains on investments 4,284 2,910
Gross unrealized losses on investments (139,727) (194,827)
Total financial assets $ 2,845,575 $ 2,350,285
Yield on investments 4.47% 4.35%
U.S. government and agency securities    
Amortized Cost, Available-for-sale securities    
Amortized cost, within 1 year $ 8,692 $ 3,501
Amortized cost, 1 to 5 years 5,699 18,894
Amortized cost, 5 to 10 years 162,027 87,922
Amortized cost, over 10 years 135,961 106,340
Gross Unrealized Gains / Losses, Available-for-sale securities    
Gross unrealized gains, within 1 year 5 0
Gross unrealized gains, 1 to 5 years 4 0
Gross unrealized gains, 5 to 10 years 524 177
Gross unrealized gains, over 10 years 37 831
Gross unrealized losses, Within 1 year (7) (36)
Gross unrealized losses, 1 to 5 years (264) (563)
Gross unrealized losses, 5 to 10 years (90) 0
Gross unrealized losses, over 10 years (389) (13)
Fair Value, Available-for-sale securities    
Fair value, within 1 year 8,690 3,465
Fair value, 1 to 5 years 5,439 18,331
Fair value, 5 to 10 years 162,461 88,099
Fair value, over 10 years $ 135,609 $ 107,158
Yield, Available-for-sale securities    
Yield, within 1 year 5.83% 6.06%
Yield, 1 to 5 years 2.89% 4.70%
Yield, 5 to 10 years 6.01% 5.76%
Yield, over 10 years 6.32% 5.84%
Asset-backed securities    
Amortized Cost, Available-for-sale securities    
Amortized cost, 1 to 5 years $ 13,249 $ 18,579
Amortized cost, 5 to 10 years 24,380 36,875
Amortized cost, over 10 years 513,964 539,911
Gross Unrealized Gains / Losses, Available-for-sale securities    
Gross unrealized gains, 1 to 5 years 0 0
Gross unrealized gains, 5 to 10 years 65 2
Gross unrealized gains, over 10 years 1,251 578
Gross unrealized losses, 1 to 5 years (397) (715)
Gross unrealized losses, 5 to 10 years 0 (99)
Gross unrealized losses, over 10 years (3,049) (7,115)
Fair Value, Available-for-sale securities    
Fair value, 1 to 5 years 12,852 17,864
Fair value, 5 to 10 years 24,445 36,778
Fair value, over 10 years $ 512,166 $ 533,374
Yield, Available-for-sale securities    
Yield, 1 to 5 years 6.08% 6.06%
Yield, 5 to 10 years 6.23% 6.11%
Yield, over 10 years 6.30% 6.35%
Corporate debt securities    
Amortized Cost, Available-for-sale securities    
Amortized cost, within 1 year $ 8,100  
Amortized cost, 1 to 5 years 144,034 $ 151,893
Amortized cost, 5 to 10 years 112,625 113,221
Gross Unrealized Gains / Losses, Available-for-sale securities    
Gross unrealized gains, within 1 year 0  
Gross unrealized gains, 1 to 5 years 1,140 895
Gross unrealized gains, 5 to 10 years 0 0
Gross unrealized losses, Within 1 year (1)  
Gross unrealized losses, 1 to 5 years (845) (1,787)
Gross unrealized losses, 5 to 10 years (15,310) (21,700)
Fair Value, Available-for-sale securities    
Fair value, within 1 year 8,099  
Fair value, 1 to 5 years 144,329 151,001
Fair value, 5 to 10 years $ 97,315 $ 91,521
Yield, Available-for-sale securities    
Yield, within 1 year 3.35%  
Yield, 1 to 5 years 5.20% 5.14%
Yield, 5 to 10 years 3.87% 3.87%
Municipal bonds due    
Amortized Cost, Available-for-sale securities    
Amortized cost, 5 to 10 years $ 5,705 $ 5,720
Amortized cost, over 10 years 29,812 29,832
Gross Unrealized Gains / Losses, Available-for-sale securities    
Gross unrealized gains, 5 to 10 years 0 0
Gross unrealized gains, over 10 years 3 361
Gross unrealized losses, 5 to 10 years (265) (701)
Gross unrealized losses, over 10 years (194) (550)
Fair Value, Available-for-sale securities    
Fair value, 5 to 10 years 5,440 5,019
Fair value, over 10 years $ 29,621 $ 29,643
Yield, Available-for-sale securities    
Yield, 5 to 10 years 3.00% 3.00%
Yield, over 10 years 5.85% 5.85%
Agency pass-through certificates    
Amortized Cost, Available-for-sale securities    
Amortized cost, without single maturity date $ 1,358,888 $ 1,005,928
Gross Unrealized Gains / Losses, Available-for-sale securities    
Gross unrealized gains, without single maturity date 1,232 66
Gross unrealized losses, without single maturity date (68,472) (93,150)
Fair Value, Available-for-sale securities    
Fair value, without single maturity date $ 1,291,648 $ 912,844
Yield, Available-for-sale securities    
Yield, without single maturity date 3.85% 3.39%
Amortized Cost, Held-to-maturity securities    
Held-to-maturity securities $ 457,882 $ 423,586
Gross Unrealized Gains / Losses, Held-to-maturity securities    
Held-to-maturity securities, gross unrealized gains 23 0
Held-to-maturity securities, gross unrealized losses (50,444) (68,398)
Fair Value, Held-to-maturity securities    
Held-to-maturity securities, fair value $ 407,461 $ 355,188
Yield, Held-to-maturity securities    
Held-to-maturity securities, yield 3.17% 2.88%