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Variable Interest Entities - Narrative (Details)
$ in Thousands
3 Months Ended 12 Months Ended
Dec. 31, 2020
USD ($)
item
Dec. 31, 2019
USD ($)
Sep. 30, 2020
USD ($)
Sep. 30, 2019
USD ($)
Mar. 31, 2018
USD ($)
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2021-01-01          
Revenue recognition          
Contract term 12 months        
Revenue, Remaining Performance Obligation, Expected Timing of Satisfaction, Start Date [Axis]: 2022-01-01          
Revenue recognition          
Contract term 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        
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        
Cubic Corporation Excluding VIE          
Revenue recognition          
Restricted cash $ 29,610   $ 25,478    
VIE          
Revenue recognition          
Restricted cash 3,822   1,822    
P3 Joint Venture          
Revenue recognition          
Maximum exposure to loss 2,900        
OpCo. | Interest Rate Swaps | Not Designated as Hedging Instrument          
Revenue recognition          
Notional principal outstanding derivative instruments 215,000   194,000    
Unrealized gains 3,300 $ 4,300      
OpCo. | Interest Rate Swaps | Not Designated as Hedging Instrument | Other noncurrent liabilities          
Revenue recognition          
Fair value interest rate swaps 2,600   5,900    
OpCo. | P3 Credit Agreement | Revolving Credit Agreement          
Revenue recognition          
Maximum borrowing capacity under credit agreement 15,800        
OpCo. | P3 Credit Agreement | Long-term Debt Facility          
Revenue recognition          
Maximum borrowing capacity under credit agreement $ 421,600        
OpCo. | Boston OpCo Amended Credit Agreement          
Revenue recognition          
Number of long-term debt facilities | item 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 17,000   $ 17,200    
OpCo. | Original MBTA Contract          
Revenue recognition          
Expected contract revenue 175,800        
OpCo. | Original MBTA Contract | Design and Build Phase          
Revenue recognition          
Expected contract revenue 43,500        
OpCo. | Original MBTA Contract | Operate and Maintain Phase          
Revenue recognition          
Expected contract revenue 618,000        
OpCo. | MBTA          
Revenue recognition          
Expected contract revenue $ 596,400        
Cubic Transportation Systems | HoldCo.          
Revenue recognition          
Ownership percentage 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        
John Laing | HoldCo.          
Revenue recognition          
Ownership percentage 90.00%        
John Laing | HoldCo. | Equity Bridge Loan          
Revenue recognition          
Loan amount         $ 26,200