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Fair Value Measurements - Assets Measured at Fair Value on a Recurring Basis (Details) - Fair Value, Measurements, Recurring - USD ($) $ in Thousands	Jun. 30, 2023	Sep. 30, 2022
Fair Value, Assets and Liabilities Measured on Recurring Basis [Line Items]
Total liabilities at fair value on a recurring basis	$ 157,401	$ 68,083
Estimate of Fair Value Measurement
Fair Value, Assets and Liabilities Measured on Recurring Basis [Line Items]
Total assets at fair value on a recurring basis	45,198	88,210
Money market funds | Estimate of Fair Value Measurement
Fair Value, Assets and Liabilities Measured on Recurring Basis [Line Items]
Total assets at fair value on a recurring basis	9,304	23,439
Notes receivable | Estimate of Fair Value Measurement
Fair Value, Assets and Liabilities Measured on Recurring Basis [Line Items]
Total assets at fair value on a recurring basis	35,894	35,872
Corporate and government bonds | Estimate of Fair Value Measurement
Fair Value, Assets and Liabilities Measured on Recurring Basis [Line Items]
Total assets at fair value on a recurring basis		28,899
Revolving credit facility and term loans
Fair Value, Assets and Liabilities Measured on Recurring Basis [Line Items]
Total liabilities at fair value on a recurring basis	157,401
Term loans
Fair Value, Assets and Liabilities Measured on Recurring Basis [Line Items]
Total liabilities at fair value on a recurring basis		68,083
Quoted Prices in Active Markets for Identical Assets (Level 1)
Fair Value, Assets and Liabilities Measured on Recurring Basis [Line Items]
Total liabilities at fair value on a recurring basis	0	0
Quoted Prices in Active Markets for Identical Assets (Level 1) | Estimate of Fair Value Measurement
Fair Value, Assets and Liabilities Measured on Recurring Basis [Line Items]
Total assets at fair value on a recurring basis	9,304	52,338
Quoted Prices in Active Markets for Identical Assets (Level 1) | Money market funds | Estimate of Fair Value Measurement
Fair Value, Assets and Liabilities Measured on Recurring Basis [Line Items]
Total assets at fair value on a recurring basis	9,304	23,439
Quoted Prices in Active Markets for Identical Assets (Level 1) | Notes receivable | Estimate of Fair Value Measurement
Fair Value, Assets and Liabilities Measured on Recurring Basis [Line Items]
Total assets at fair value on a recurring basis	0	0
Quoted Prices in Active Markets for Identical Assets (Level 1) | Corporate and government bonds | Estimate of Fair Value Measurement
Fair Value, Assets and Liabilities Measured on Recurring Basis [Line Items]
Total assets at fair value on a recurring basis		28,899
Quoted Prices in Active Markets for Identical Assets (Level 1) | Revolving credit facility and term loans
Fair Value, Assets and Liabilities Measured on Recurring Basis [Line Items]
Total liabilities at fair value on a recurring basis	0
Quoted Prices in Active Markets for Identical Assets (Level 1) | Term loans
Fair Value, Assets and Liabilities Measured on Recurring Basis [Line Items]
Total liabilities at fair value on a recurring basis		0
Significant Other Observable Inputs (Level 2)
Fair Value, Assets and Liabilities Measured on Recurring Basis [Line Items]
Total liabilities at fair value on a recurring basis	157,401	68,083
Significant Other Observable Inputs (Level 2) | Estimate of Fair Value Measurement
Fair Value, Assets and Liabilities Measured on Recurring Basis [Line Items]
Total assets at fair value on a recurring basis	0	0
Significant Other Observable Inputs (Level 2) | Money market funds | Estimate of Fair Value Measurement
Fair Value, Assets and Liabilities Measured on Recurring Basis [Line Items]
Total assets at fair value on a recurring basis	0	0
Significant Other Observable Inputs (Level 2) | Notes receivable | Estimate of Fair Value Measurement
Fair Value, Assets and Liabilities Measured on Recurring Basis [Line Items]
Total assets at fair value on a recurring basis	0	0
Significant Other Observable Inputs (Level 2) | Corporate and government bonds | Estimate of Fair Value Measurement
Fair Value, Assets and Liabilities Measured on Recurring Basis [Line Items]
Total assets at fair value on a recurring basis		0
Significant Other Observable Inputs (Level 2) | Revolving credit facility and term loans
Fair Value, Assets and Liabilities Measured on Recurring Basis [Line Items]
Total liabilities at fair value on a recurring basis	157,401
Significant Other Observable Inputs (Level 2) | Term loans
Fair Value, Assets and Liabilities Measured on Recurring Basis [Line Items]
Total liabilities at fair value on a recurring basis		68,083
Significant Unobservable Inputs (Level 3)
Fair Value, Assets and Liabilities Measured on Recurring Basis [Line Items]
Total liabilities at fair value on a recurring basis	0	0
Significant Unobservable Inputs (Level 3) | Estimate of Fair Value Measurement
Fair Value, Assets and Liabilities Measured on Recurring Basis [Line Items]
Total assets at fair value on a recurring basis	35,894	35,872
Significant Unobservable Inputs (Level 3) | Money market funds | Estimate of Fair Value Measurement
Fair Value, Assets and Liabilities Measured on Recurring Basis [Line Items]
Total assets at fair value on a recurring basis	0	0
Significant Unobservable Inputs (Level 3) | Notes receivable | Estimate of Fair Value Measurement
Fair Value, Assets and Liabilities Measured on Recurring Basis [Line Items]
Total assets at fair value on a recurring basis	35,894	35,872
Significant Unobservable Inputs (Level 3) | Corporate and government bonds | Estimate of Fair Value Measurement
Fair Value, Assets and Liabilities Measured on Recurring Basis [Line Items]
Total assets at fair value on a recurring basis		0
Significant Unobservable Inputs (Level 3) | Revolving credit facility and term loans
Fair Value, Assets and Liabilities Measured on Recurring Basis [Line Items]
Total liabilities at fair value on a recurring basis	$ 0
Significant Unobservable Inputs (Level 3) | Term loans
Fair Value, Assets and Liabilities Measured on Recurring Basis [Line Items]
Total liabilities at fair value on a recurring basis		$ 0

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- Definition

Fair value portion of probable future economic benefits obtained or controlled by an entity as a result of past transactions or events.

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Fair value of financial and nonfinancial obligations.

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