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Debt - Historical Transactions (Narrative) (Details) |  |  |  |  |  | 12 Months Ended |  |  |  |
--- | --- | --- | --- | --- | --- | --- | --- | --- | --- | ---
Sep. 17, 2024 USD ($) Rate | Jun. 30, 2024 | Jun. 29, 2024 | Jan. 24, 2024 USD ($) Rate | Jan. 27, 2023 | Sep. 30, 2025 USD ($) Rate | Sep. 30, 2024 USD ($) | Sep. 30, 2023 USD ($) | Feb. 05, 2025 Rate | Sep. 20, 2024 USD ($) | Nov. 30, 2023 USD ($) | Nov. 29, 2023 USD ($)
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Weighted-average interest rate of total debt |  |  |  |  |  | 4.10% | 4.30% | 4.10% |  |  |  |
January 2024 Senior Term Loan Credit Agreement |  |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Proceeds from issuance of secured note |  |  |  |  |  | $ 42,000,000 |  |  |  |  |  |
Repayments of secured debt |  |  |  |  |  | 42,000,000 |  |  |  |  |  |
September 2024 Senior Term Loan Credit Agreement |  |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Proceeds from issuance of secured note |  |  |  |  |  | 62,000,000 |  |  |  |  |  |
Repayments of secured debt |  |  |  |  |  | 62,000,000 |  |  |  |  |  |
Mortgage Term Loan due 2033 |  |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Proceeds from issuance of secured note |  |  |  |  |  | 0 | $ 0 | $ 19,000,000 |  |  |  |
Repayments of secured debt |  |  |  |  |  | $ 1,000,000 | 0 | $ 1,000,000 |  |  |  |
Third-Parties |  |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Debt fees | $ 2,000,000 |  |  | $ 3,000,000 |  |  |  |  |  |  |  |
Creditors |  |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Debt fees |  |  |  | $ 2,000,000 |  |  |  |  |  |  |  |
Acquisition Corp. |  |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Debt instrument, basis spread on variable rate (as a percent) | Rate | 1.75% |  |  | 2.00% |  |  |  |  |  |  |  |
Acquisition Corp. | Fed Funds Effective Rate Overnight Index Swap Rate |  |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Debt instrument, basis spread on variable rate (as a percent) | Rate | 0.50% |  |  | 0.50% |  |  |  |  |  |  |  |
Acquisition Corp. | Fed Funds Effective Rate Overnight Index Swap Rate | Senior Term Loan Facility -Tranche G |  |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Debt instrument, basis spread on variable rate (as a percent) |  |  |  |  |  | 0.50% |  |  |  |  |  |
Acquisition Corp. | Secured Overnight Financing Rate (SOFR) |  |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Debt instrument, basis spread on variable rate (as a percent) | Rate | 1.00% |  |  | 1.00% |  |  |  |  |  |  |  |
Acquisition Corp. | Secured Overnight Financing Rate (SOFR) | Senior Term Loan Facility -Tranche G |  |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Debt instrument, basis spread on variable rate (as a percent) |  |  |  |  |  | 1.75% |  |  |  |  |  |
Acquisition Corp. | Secured Overnight Financing Rate (SOFR) | Mortgage Term Loan due 2033 |  |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Debt instrument, basis spread on variable rate (as a percent) |  |  |  |  | 1.40% |  |  |  |  |  |  |
Acquisition Corp. | Base Rate |  |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Debt instrument, basis spread on variable rate (as a percent) | 1.00% |  |  | 1.00% |  |  |  |  |  |  |  |
Acquisition Corp. | Base Rate | Senior Term Loan Facility -Tranche G |  |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Debt instrument, basis spread on variable rate (as a percent) |  |  |  |  |  | 1.00% |  |  |  |  |  |
Term loan borrower alternate base rate election rate |  |  |  |  |  | 1.00% |  |  |  |  |  |
Additional interest rate on other overdue amounts |  |  |  |  |  | 2.00% |  |  |  |  |  |
Tempo | Tempo Asset-Based Notes due 2050 |  |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Debt instrument, basis spread on variable rate (as a percent) | Rate |  |  |  |  |  | 5.00% |  |  |  |  |  |
Weighted-average interest rate of total debt | Rate |  |  |  |  |  |  |  |  | 4.62% |  |  |
Tempo | Asset-Based Class A Notes |  |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Debt instrument, basis spread on variable rate (as a percent) | Rate |  |  |  |  |  | 3.53% |  |  |  |  |  |
Tempo | Asset-Based Class B Notes |  |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Debt instrument, basis spread on variable rate (as a percent) | Rate |  |  |  |  |  | 4.28% |  |  |  |  |  |
Revolving Credit Facility | Beethoven Credit Agreement |  |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Debt instrument, basis spread on variable rate (as a percent) |  |  |  |  |  | 1.00% |  |  |  |  |  |
Term loan borrower alternate base rate election rate |  |  |  |  |  | 1.00% |  |  |  |  |  |
Revolving Credit Facility | Fed Funds Effective Rate Overnight Index Swap Rate | Beethoven Credit Agreement |  |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Debt instrument, basis spread on variable rate (as a percent) |  |  |  |  |  | 0.50% |  |  |  |  |  |
Revolving Credit Facility | Secured Overnight Financing Rate (SOFR) | Beethoven Credit Agreement |  |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Debt instrument, basis spread on variable rate (as a percent) |  |  |  |  |  | 2.00% |  |  |  |  |  |
Revolving Credit Facility | Eurodollar Applicable Margin Rate | 2020 Revolving Loans |  |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Debt instrument, basis spread on variable rate (as a percent) |  | 1.375% | 1.875% |  |  |  |  |  |  |  |  |
Revolving Credit Facility | ABR Applicable Margin Rate | 2020 Revolving Loans |  |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Debt instrument, basis spread on variable rate (as a percent) |  | 0.375% | 0.875% |  |  |  |  |  |  |  |  |
Revolving Credit Facility | Acquisition Corp. |  |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Line of credit facility, current borrowing capacity |  |  |  |  |  | $ 350,000,000 | $ 350,000,000 |  |  |  | $ 350,000,000 | $ 300,000,000
Increase in secured indebtedness to EBITDA |  |  |  |  |  |  |  |  |  |  | 140,000,000 | $ 105,000,000
Secured indebtedness of EBITDA |  |  |  |  |  |  |  |  |  | $ 750,000,000 | $ 250,000,000 |
Debt instrument, covenant, total indebtedness to EBITDA ratio |  |  |  |  |  |  |  |  |  |  | 3.60 |
Term loan borrower alternate base rate election rate |  |  |  |  |  | 1.00% |  |  |  |  |  |
Additional interest on overdue principal |  |  |  |  |  | 2.00% |  |  |  |  |  |
Revolving Credit Facility | Acquisition Corp. | Initial Revolving Loans |  |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Debt instrument, basis spread on variable rate (as a percent) |  |  |  |  |  | 0.75% |  |  |  |  |  |
Revolving Credit Facility | Acquisition Corp. | 2020 Revolving Loans |  |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Debt instrument, basis spread on variable rate (as a percent) |  |  |  |  |  | 0.875% |  |  |  |  |  |
Senior secured indebtedness to EBITDA ratio |  |  |  |  |  | 2.02 |  |  |  |  |  |
Revolving Credit Facility | Acquisition Corp. | Fed Funds Effective Rate Overnight Index Swap Rate |  |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Debt instrument, basis spread on variable rate (as a percent) |  |  |  |  |  | 0.50% |  |  |  |  |  |
Revolving Credit Facility | Acquisition Corp. | Secured Overnight Financing Rate (SOFR) | Initial Revolving Loans |  |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Debt instrument, basis spread on variable rate (as a percent) |  |  |  |  |  | 1.75% |  |  |  |  |  |
Revolving Credit Facility | Acquisition Corp. | Secured Overnight Financing Rate (SOFR) | 2020 Revolving Loans |  |  |  |  |  |  |  |  |  |  |  |
Debt Instrument [Line Items] |  |  |  |  |  |  |  |  |  |  |  |
Debt instrument, basis spread on variable rate (as a percent) |  |  |  |  |  | 1.875% |  |  |  |  |  |

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