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Variable Interest Entities - Narrative (Details)
$ in Thousands
1 Months Ended 3 Months Ended 6 Months Ended 12 Months Ended
Jun. 30, 2020
USD ($)
Mar. 31, 2021
USD ($)
item
Mar. 31, 2020
USD ($)
Mar. 31, 2021
USD ($)
item
Mar. 31, 2020
USD ($)
Sep. 30, 2020
USD ($)
Sep. 30, 2019
USD ($)
Mar. 31, 2018
USD ($)
Revenue recognition                
Termination costs     $ (16,090)   $ (16,090)      
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2021-01-01                
Revenue recognition                
Contract term   12 months   12 months        
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2022-01-01                
Revenue recognition                
Contract term   24 months   24 months        
Revolving Credit Agreement                
Revenue recognition                
Maximum borrowing capacity under credit agreement             $ 800,000  
Design and Build Phase | Boston OpCo Amended Credit Agreement | Long-term Debt Facility | LIBOR | Minimum                
Revenue recognition                
Variable interest rate (as a percent)       1.75%        
Design and Build Phase | Boston OpCo Amended Credit Agreement | Long-term Debt Facility | LIBOR | Maximum                
Revenue recognition                
Variable interest rate (as a percent)       2.00%        
MBTA | Design and Build Phase | Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2018-10-01                
Revenue recognition                
Contract term   4 years   4 years        
MBTA | Operate and Maintain Phase | Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2021-10-01                
Revenue recognition                
Contract term   12 years   12 years        
P3 Joint Venture                
Revenue recognition                
Maximum exposure to loss   $ 2,900   $ 2,900        
OpCo. | Interest Rate Swaps | Not Designated as Hedging Instrument                
Revenue recognition                
Notional principal outstanding derivative instruments   233,500   233,500   $ 194,000    
Unrealized gain (loss) on derivative   15,100 $ 15,800 18,300 $ 11,500      
OpCo. | Interest Rate Swaps | Not Designated as Hedging Instrument | Other noncurrent liabilities                
Revenue recognition                
Fair value interest rate swaps   12,500   12,500   5,900    
OpCo. | P3 Credit Agreement | Revolving Credit Agreement                
Revenue recognition                
Maximum borrowing capacity under credit agreement   15,800   15,800        
OpCo. | P3 Credit Agreement | Long-term Debt Facility                
Revenue recognition                
Maximum borrowing capacity under credit agreement   $ 421,600   $ 421,600        
OpCo. | Boston OpCo Amended Credit Agreement                
Revenue recognition                
Number of long-term debt facilities | item   2   2        
Debt issuance and modification costs           9,200    
OpCo. | Boston OpCo Amended Credit Agreement | Interest Rate Swaps                
Revenue recognition                
Termination costs $ 34,400              
OpCo. | Boston OpCo Amended Credit Agreement | Long-term Debt Facility                
Revenue recognition                
Unamortized deferred financing costs   $ 16,700   $ 16,700   $ 17,200    
OpCo. | Original MBTA Contract                
Revenue recognition                
Expected contract revenue   175,800   175,800        
OpCo. | Original MBTA Contract | Design and Build Phase                
Revenue recognition                
Expected contract revenue   43,500   43,500        
OpCo. | Original MBTA Contract | Operate and Maintain Phase                
Revenue recognition                
Expected contract revenue   618,000   618,000        
OpCo. | MBTA                
Revenue recognition                
Expected contract revenue   $ 596,400   $ 596,400        
Cubic Transportation Systems | HoldCo.                
Revenue recognition                
Ownership percentage   10.00%   10.00%        
Cubic Transportation Systems | HoldCo. | Letter of credit agreement                
Revenue recognition                
Maximum borrowing capacity under credit agreement               $ 2,900
Borrowings outstanding under credit agreement   $ 0   $ 0        
John Laing | HoldCo.                
Revenue recognition                
Ownership percentage   90.00%   90.00%        
John Laing | HoldCo. | Equity Bridge Loan                
Revenue recognition                
Loan amount               $ 26,200