Credit Facilities - Narrative (Details)	12 Months Ended
	Sep. 30, 2023 USD ($)	Sep. 30, 2022 USD ($)
Line of Credit Facility [Line Items]
Notional amount of floating-to-fix interest rate swap	$ 112,200,000
Debt annual amortization amount fiscal year 2023	8,313,000
Debt annual amortization amount fiscal year 2024	19,000,000
Debt annual amortization amount fiscal year 2025	19,000,000
Debt annual amortization fiscal year 2026	23,750,000
Debt annual amortization fiscal year 2027	109,296,000
Total repayments of debt	20,188,000	$ 41,750,000
Debt Instrument Excess Cash Flow Payment	0
Secured term loan	179,359,000
Maturity One
Line of Credit Facility [Line Items]
Notional amount of floating-to-fix interest rate swap	16,200,000
Maturity Two
Line of Credit Facility [Line Items]
Notional amount of floating-to-fix interest rate swap	96,000,000
Interest Rate Swap
Line of Credit Facility [Line Items]
Decrease in interest expense	$ 900,000
Interest Rate Swap | Maturity One
Line of Credit Facility [Line Items]
Fixed interest rate applicable to swaps	1.61%
Interest Rate Swap | Maturity Two
Line of Credit Facility [Line Items]
Fixed interest rate applicable to swaps	4.10%
Secured revolving line of credit
Line of Credit Facility [Line Items]
Secured term loan	$ 9,546,000	0
Secured Debt
Line of Credit Facility [Line Items]
Debt annual amortization amount fiscal year 2023	8,300,000
Secured term loan	$ 169,813,000	22,000,000
Secured Debt | Term loan
Line of Credit Facility [Line Items]
Fixed charge coverage ratio	1.25
Debt annual amortization amount fiscal year 2023	$ 14,300,000
Debt annual amortization amount fiscal year 2024	14,300,000
Debt annual amortization amount fiscal year 2025	19,000,000
Debt annual amortization fiscal year 2026	19,000,000
Debt annual amortization fiscal year 2027	23,800,000
Total repayments of debt	3,600,000
Voluntary repayments of debt	5,900,000
Secured term loan	$ 169,800,000	22,000,000.0
Secured Debt | Term loan | Maximum
Line of Credit Facility [Line Items]
Ratio of funded indebtedness to EBITDA through maturity	4.50
Secured Debt | Term loan | Minimum
Line of Credit Facility [Line Items]
Ratio of funded indebtedness to EBITDA through maturity	2.00
Secured Debt | Term loan | Excess Cash Flow Greater Than or Equal to 2.50
Line of Credit Facility [Line Items]
Percentage of excess cash flow for each year of funded indebtedness to adjusted EBITDA	75.00%
Ratio of funded indebtedness to adjusted EBIDTA	2.50
Secured Debt | Term loan | Excess Cash Flow Less Than 2.50 But Greater Than or Equal to 1.50
Line of Credit Facility [Line Items]
Percentage of excess cash flow for each year of funded indebtedness to adjusted EBITDA	50.00%
Secured Debt | Term loan | Excess Cash Flows Less Than 2.50
Line of Credit Facility [Line Items]
Ratio of funded indebtedness to adjusted EBIDTA	2.50
Secured Debt | Term loan | Excess Cash Flow Equal to 1.50
Line of Credit Facility [Line Items]
Ratio of funded indebtedness to adjusted EBIDTA	1.50
Secured Debt | Term loan | Excess Cash Flow Less Than 1.50
Line of Credit Facility [Line Items]
Percentage of excess cash flow for each year of funded indebtedness to adjusted EBITDA	0.00%
Ratio of funded indebtedness to adjusted EBIDTA	1.50
Secured Debt | Secured revolving line of credit
Line of Credit Facility [Line Items]
Line of credit ceiling	$ 70,000,000
Unused borrowing capacity	32,000,000
Secured term loan	9,500,000	$ 0
Secured Debt | Letters of credit
Line of Credit Facility [Line Items]
Remaining borrowing availability	$ 10,000,000