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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
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