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Long-Term Debt, Net - Additional Information (Details) |  |  |  |  |  | 6 Months Ended | 12 Months Ended |
--- | --- | --- | --- | --- | --- | --- | --- | ---
Sep. 30, 2023 USD ($) $ / shares | May 08, 2023 USD ($) | Oct. 03, 2022 USD ($) | Feb. 18, 2020 USD ($) day $ / shares | Feb. 13, 2020 USD ($) $ / shares shares | Sep. 30, 2020 USD ($) | Sep. 30, 2023 USD ($) $ / shares | Sep. 30, 2022 USD ($) | Sep. 30, 2021 USD ($) | Oct. 01, 2022 USD ($)
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Long-term debt, less current portion and debt issuance costs, net | $ 385,081,000 |  |  |  |  |  | $ 385,081,000 | $ 287,020,000 |  |
Decrease in additional paid-in-capital | (249,688,000) |  |  |  |  |  | (249,688,000) | (241,958,000) |  |
Accumulated earnings | (12,944,000) |  |  |  |  |  | (12,944,000) | (23,582,000) |  |
Amortization of deferred debt issuance costs |  |  |  |  |  |  | 1,514,000 | 1,046,000 | $ 968,000 |
Debt issuance costs, net | 4,424,000 |  |  |  |  |  | 4,424,000 | 2,554,000 |  |
Exchangeable notes, fair value | 108,506,000 |  |  |  |  |  | 108,506,000 |  |  |
Payments for note hedge transactions |  |  |  |  | $ 28,676,000 |  |  |  |  |
Debt issuance costs incurred |  |  |  |  |  |  | 3,079,000 | 0 | $ 0 |
Cumulative Effect, Period of Adoption, Adjustment | Accounting Standards Update 2020-06 |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Long-term debt, less current portion and debt issuance costs, net |  |  |  |  |  |  |  |  |  | $ 11,933,000
Decrease in additional paid-in-capital |  |  |  |  |  |  |  |  |  | 23,382,000
Accumulated earnings |  |  |  |  |  |  |  |  |  | $ 11,449,000
1.0% Exchangeable Senior Notes due 2025 |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Repayments of convertible debt |  |  |  |  |  | $ 17,414,000 |  |  |  |
1.0% Exchangeable Senior Notes due 2025 | Exchangeable Notes |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Original principal amount |  |  |  | $ 138,000,000 |  |  |  |  |  |
Stated interest rate |  |  |  | 1.00% |  |  |  |  |  |
Net proceeds from the sale of the exchangeable notes |  |  |  | $ 132,762,000 |  |  |  |  |  |
Long-term debt | 117,000,000 |  |  |  |  |  | 117,000,000 | 104,557,000 |  |
Amortization of deferred debt issuance costs |  |  |  |  |  |  | 949,000 | 666,000 |  |
Debt issuance costs, net | 1,501,000 |  |  |  |  |  | 1,501,000 |  |  |
Debt aggregate repurchase amount |  |  |  |  |  | 21,000,000 |  |  |  |
Debt interest, repurchase amount |  |  |  |  |  | $ 24,000 |  |  |  |
1.0% Exchangeable Senior Notes due 2025 | Exchangeable Notes | In Event of Fundamental Change |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Repurchase price as percent of face value of notes |  |  |  | 100.00% |  |  |  |  |  |
1.0% Exchangeable Senior Notes due 2025 | Exchangeable Notes | February 20, 2023 to 47th Scheduled Trading Day Immediately Preceding the Maturity Date |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Repurchase price as percent of face value of notes |  |  |  | 100.00% |  |  |  |  |  |
Revolving lines of credit to banks under the 2023 Senior Secured Credit Facility | Line of Credit |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Long-term debt | $ 272,505,000 |  |  |  |  |  | $ 272,505,000 | 0 |  |
Revolving lines of credit to banks under the 2023 Senior Secured Credit Facility | Line of Credit | One, Two, Three, Or Six Month SOFR |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Basis spread on variable rate | 3.00% |  |  |  |  |  |  |  |  |
Revolving lines of credit to banks under the 2023 Senior Secured Credit Facility | Line of Credit | One, Two, Three, Or Six Month SOFR | Minimum |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Basis spread on variable rate |  | 2.00% |  |  |  |  |  |  |  |
Revolving lines of credit to banks under the 2023 Senior Secured Credit Facility | Line of Credit | One, Two, Three, Or Six Month SOFR | Maximum |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Basis spread on variable rate |  | 3.00% |  |  |  |  |  |  |  |
Revolving lines of credit to banks under the 2023 Senior Secured Credit Facility | Line of Credit | SOFR Plus 1% |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Basis spread on variable rate | 2.00% |  |  |  |  |  |  |  |  |
Revolving lines of credit to banks under the 2023 Senior Secured Credit Facility | Line of Credit | SOFR Plus 1% | Minimum |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Basis spread on variable rate |  | 1.00% |  |  |  |  |  |  |  |
Revolving lines of credit to banks under the 2023 Senior Secured Credit Facility | Line of Credit | SOFR Plus 1% | Maximum |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Basis spread on variable rate |  | 2.00% |  |  |  |  |  |  |  |
Revolving lines of credit to banks under the 2023 Senior Secured Credit Facility | Line of Credit | Revolving Credit Facility |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Revolving line of credit borrowing capacity |  | $ 450,000,000 |  |  |  |  |  |  |  |
Optional addition to borrowing capacity |  | $ 100,000,000 |  |  |  |  |  |  |  |
Consolidation basis |  | 1 |  |  |  |  |  |  |  |
Debt covenant, minimum consolidated interest coverage ratio | 4.39 | 3 |  |  |  |  | 4.39 |  |  |
Debt covenant, maximum total leverage ratio | 3.77 | 5 |  |  |  |  | 3.77 |  |  |
Commitment fee percentage | 0.30% |  |  |  |  |  |  |  |  |
Revolving lines of credit to banks under the 2023 Senior Secured Credit Facility | Line of Credit | Revolving Credit Facility | Minimum |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Commitment fee percentage |  | 0.15% |  |  |  |  |  |  |  |
Revolving lines of credit to banks under the 2023 Senior Secured Credit Facility | Line of Credit | Revolving Credit Facility | Maximum |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Commitment fee percentage |  | 0.30% |  |  |  |  |  |  |  |
Revolving lines of credit to banks under the 2023 Senior Secured Credit Facility | Line of Credit | Revolving Credit Facility | One, Two, Three, Or Six Month SOFR |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Basis spread on variable rate |  | 0.10% |  |  |  |  |  |  |  |
Revolving lines of credit to banks under the 2023 Senior Secured Credit Facility | Line of Credit | Revolving Credit Facility | Adjusted Term SOFR |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Basis spread on variable rate |  | 0.00% |  |  |  |  |  |  |  |
Revolving lines of credit to banks under the 2023 Senior Secured Credit Facility | Line of Credit | Revolving Credit Facility | Federal Funds Rate |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Basis spread on variable rate |  | 0.50% |  |  |  |  |  |  |  |
Revolving lines of credit to banks under the 2023 Senior Secured Credit Facility | Line of Credit | Revolving Credit Facility | Secured Overnight Financing Rate SOFR |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Basis spread on variable rate |  | 1.00% |  |  |  |  |  |  |  |
Revolving lines of credit to banks under the 2023 Senior Secured Credit Facility | Line of Credit | Revolving Credit Facility | Base Rate |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Basis spread on variable rate |  | 1.00% |  |  |  |  |  |  |  |
2019 Senior Secured Credit Facility | Line of Credit |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Long-term debt | $ 0 |  |  |  |  |  | $ 0 | $ 185,017,000 |  |
Revolving line of credit borrowing capacity |  |  | $ 375,000,000 |  |  |  |  |  |  |
Optional addition to borrowing capacity |  |  | $ 50,000,000 |  |  |  |  |  |  |
Write off of deferred debt issuance cost |  |  |  |  |  |  | $ 203,000 |  |  |
2019 Senior Secured Credit Facility | Line of Credit | Minimum |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Commitment fee percentage |  |  | 0.15% |  |  |  |  |  |  |
2019 Senior Secured Credit Facility | Line of Credit | Maximum |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Commitment fee percentage |  |  | 0.30% |  |  |  |  |  |  |
2019 Senior Secured Credit Facility | Line of Credit | Federal Funds Rate |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Basis spread on variable rate |  |  | 0.50% |  |  |  |  |  |  |
2019 Senior Secured Credit Facility | Line of Credit | Secured Overnight Financing Rate SOFR |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Adjustment in addition to basis spread |  |  | 0.10% |  |  |  |  |  |  |
2019 Senior Secured Credit Facility | Line of Credit | Secured Overnight Financing Rate SOFR | Minimum |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Basis spread on variable rate |  |  | 2.25% |  |  |  |  |  |  |
2019 Senior Secured Credit Facility | Line of Credit | Secured Overnight Financing Rate SOFR | Maximum |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Basis spread on variable rate |  |  | 3.25% |  |  |  |  |  |  |
2019 Senior Secured Credit Facility | Line of Credit | SOFR Plus 1% |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Basis spread on variable rate |  |  | 1.00% |  |  |  |  |  |  |
Adjustment in addition to basis spread |  |  | 0.10% |  |  |  |  |  |  |
2019 Senior Secured Credit Facility | Line of Credit | SOFR Plus 1% | Minimum |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Basis spread on variable rate |  |  | 0.25% |  |  |  |  |  |  |
2019 Senior Secured Credit Facility | Line of Credit | SOFR Plus 1% | Maximum |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Basis spread on variable rate |  |  | 1.25% |  |  |  |  |  |  |
2019 Senior Secured Credit Facility | Line of Credit | Letter of Credit Fee | Maximum |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Commitment fee percentage |  |  | 3.25% |  |  |  |  |  |  |
Additional Paid-In Capital |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Equity component of exchangeable notes, net of issuance costs and deferred taxes |  |  |  | $ 28,662,000 |  |  |  |  |  |
Class A Common Stock |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Exchangeable notes, exchange price per share (in USD per share) | $ / shares | $ 40.87 |  |  | $ 40.87 |  |  | $ 40.87 |  |  |
Warrants outstanding (in shares) | shares |  |  |  |  | 3,376,391 |  |  |  |  |
Warrants sold in connection with the issuance of the Exchangeable notes (in USD per share) | $ / shares |  |  |  |  | $ 62.88 |  |  |  |  |
Proceeds from offering and sale of warrants |  |  |  |  | $ 14,669,000 |  |  |  |  |
Class A Common Stock | 1.0% Exchangeable Senior Notes due 2025 | Exchangeable Notes |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Exchangeable notes, exchange rate, shares per $1000 |  |  |  | 0.0244666 |  |  |  |  |  |
Class A Common Stock | 1.0% Exchangeable Senior Notes due 2025 | Exchangeable Notes | February 20, 2023 to 47th Scheduled Trading Day Immediately Preceding the Maturity Date |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |
Threshold exchange price as percent of closing price per share to allow redemption |  |  |  | 130.00% |  |  |  |  |  |
Threshold trading days closing price for stock must exceed exchange price | day |  |  |  | 20 |  |  |  |  |  |

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