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Summary of Significant Accounting Policies - Schedule of Significant Unobservable Inputs Used in Level 3 Fair Value Measurement (Details) - Significant Unobservable Inputs (Level 3) | Sep. 30, 2024 | Sep. 30, 2023 | Sep. 30, 2022
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Property and equipment | Discounted cash flow | Long-term revenue/EBITDA growth rate | Minimum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | (0.023) | 0 | 0
Property and equipment | Discounted cash flow | Long-term revenue/EBITDA growth rate | Maximum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | 0.016 | 0.025 | 0.025
Property and equipment | Discounted cash flow | Long-term revenue/EBITDA growth rate | Weighted Average |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | 0.009 | 0.0125 | 0.015
Property and equipment | Discounted cash flow | Weighted average cost of capital | Minimum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | 0.096 | 0.11 | 0.125
Property and equipment | Discounted cash flow | Weighted average cost of capital | Maximum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | 0.096 | 0.11 |
Property and equipment | Discounted cash flow | Weighted average cost of capital | Weighted Average |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | 0.096 | 0.11 | 0.125
Goodwill | Discounted cash flow | EBITDA multiple | Minimum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | 1 | 9 | 8
Goodwill | Discounted cash flow | EBITDA multiple | Maximum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | 13 | 12 | 10
Goodwill | Discounted cash flow | EBITDA multiple | Weighted Average |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | 13 | 12 | 9
Goodwill | Discounted cash flow | Long-term revenue/EBITDA growth rate | Minimum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | (0.023) | 0 | 0
Goodwill | Discounted cash flow | Long-term revenue/EBITDA growth rate | Maximum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | 0.016 | 0.025 | 0.025
Goodwill | Discounted cash flow | Long-term revenue/EBITDA growth rate | Weighted Average |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | 0.009 | 0.025 | 0.015
Goodwill | Discounted cash flow | Weighted average cost of capital | Minimum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | 0.096 | 0.11 | 0.125
Goodwill | Discounted cash flow | Weighted average cost of capital | Maximum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | 0.096 | 0.11 |
Goodwill | Discounted cash flow | Weighted average cost of capital | Weighted Average |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | 0.096 | 0.11 | 0.125
SOB licenses | Multiperiod excess earnings | Long-term revenue/EBITDA growth rate | Minimum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input |  | 0 | 0
SOB licenses | Multiperiod excess earnings | Long-term revenue/EBITDA growth rate | Maximum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | 0.016 | 0.025 | 0.025
SOB licenses | Multiperiod excess earnings | Long-term revenue/EBITDA growth rate | Weighted Average |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | 0.016 | 0.025 | 0.015
SOB licenses | Multiperiod excess earnings | Weighted average cost of capital | Minimum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | 0.096 | 0.11 | 0.125
SOB licenses | Multiperiod excess earnings | Weighted average cost of capital | Maximum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | 0.096 | 0.11 |
SOB licenses | Multiperiod excess earnings | Weighted average cost of capital | Weighted Average |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | 0.096 | 0.11 | 0.125
SOB licenses | Multiperiod excess earnings | Contributory asset charges rate | Minimum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | 0.051 | 0.10 | 0.005
SOB licenses | Multiperiod excess earnings | Contributory asset charges rate | Maximum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | 0.162 | 0.215 | 0.074
SOB licenses | Multiperiod excess earnings | Contributory asset charges rate | Weighted Average |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | 0.151 | 0.15 | 0.023
Tradename | Relief-from-royalty method | Weighted average cost of capital | Minimum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | 0.096 | 0.11 | 0.125
Tradename | Relief-from-royalty method | Weighted average cost of capital | Maximum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | 0.096 | 0.11 | 0.125
Tradename | Relief-from-royalty method | Weighted average cost of capital | Weighted Average |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | 0.096 | 0.11 | 0.125
Tradename | Relief-from-royalty method | Long-term revenue growth rate | Minimum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input |  | 0 | 0
Tradename | Relief-from-royalty method | Long-term revenue growth rate | Maximum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | 0.016 | 0.025 | 0.025
Tradename | Relief-from-royalty method | Long-term revenue growth rate | Weighted Average |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | 0.016 | 0.025 | 0.015
Tradename | Relief-from-royalty method | Royalty rate | Minimum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | 0.03 | 0.030 | 0.035
Tradename | Relief-from-royalty method | Royalty rate | Maximum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | 0.06 | 0.060 | 0.045
Tradename | Relief-from-royalty method | Royalty rate | Weighted Average |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | 0.044 | 0.047 | 0.04
Operating lease right-of-use assets | Discounted cash flow | Weighted average cost of capital | Minimum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | 0.096 | 0.11 | 0.125
Operating lease right-of-use assets | Discounted cash flow | Weighted average cost of capital | Maximum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | 0.096 | 0.11 |
Operating lease right-of-use assets | Discounted cash flow | Weighted average cost of capital | Weighted Average |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | 0.096 | 0.11 | 0.125
Operating lease right-of-use assets | Discounted cash flow | Long-term EBITDA growth rate | Minimum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | (0.023) | 0.015 | 0
Operating lease right-of-use assets | Discounted cash flow | Long-term EBITDA growth rate | Maximum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | 0.016 | 0.025 | 0.025
Operating lease right-of-use assets | Discounted cash flow | Long-term EBITDA growth rate | Weighted Average |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input | 0.009 | 0.023 | 0.015
Business combinations | Various | Weighted average cost of capital | Minimum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input |  | 0.165 | 0.15
Business combinations | Various | Weighted average cost of capital | Maximum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input |  | 0.18 | 0.195
Business combinations | Various | Weighted average cost of capital | Weighted Average |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input |  | 0.178 | 0.181
Business combinations | Various | Contributory asset charges rate | Minimum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input |  | 0.156 | 0.085
Business combinations | Various | Contributory asset charges rate | Maximum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input |  | 0.215 | 0.102
Business combinations | Various | Contributory asset charges rate | Weighted Average |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input |  | 0.163 | 0.093
Business combinations | Various | Long-term EBITDA growth rate | Minimum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input |  | 0 | 0.025
Business combinations | Various | Long-term EBITDA growth rate | Maximum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input |  | 0.11 | 0.10
Business combinations | Various | Long-term EBITDA growth rate | Weighted Average |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input |  | 0.055 | 0.048
Business combinations | Various | Internal rate of return | Minimum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input |  | 0.165 | 0.15
Business combinations | Various | Internal rate of return | Maximum |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input |  | 0.30 | 0.215
Business combinations | Various | Internal rate of return | Weighted Average |  |  |
Property, Plant and Equipment [Line Items] |  |  |
Asset fair value, measurement input |  | 0.224 | 0.194

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