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SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES, RISKS AND UNCERTAINTIES - Narrative (Details)
 3 Months Ended 9 Months Ended
Jun. 30, 2021
USD ($)
renewalOption
Jun. 30, 2020
USD ($)
Jun. 30, 2021
USD ($)
renewalOption
geographical_area
Jun. 30, 2020
USD ($)
Apr. 16, 2021
USD ($)
Oct. 01, 2020
USD ($)
Sep. 30, 2020
USD ($)
Sep. 30, 2019
USD ($)
Nov. 13, 2018
USD ($)
Summary of Significant Accounting Policies [Line Items]                  
Cash, cash equivalents, and short-term investments $ 557,800,000   $ 557,800,000            
Number of renewal options | renewalOption 1   1            
Operating lease right-of-use asset $ 53,116,000   $ 53,116,000       $ 44,583,000    
Restricted cash 51,300,000 $ 50,000,000.0 51,300,000 $ 50,000,000.0     48,900,000 $ 35,000,000.0  
Restricted cash from initial capitalization of captive insurance company 2,000,000.0   2,000,000.0       2,000,000.0    
Additional cash restricted at the election of management for potential insurance claims 47,800,000   47,800,000       43,100,000    
Retained earnings 2,679,859,000   2,679,859,000       3,010,012,000    
Underwriting expenses 6,000,000.0 1,100,000 $ 8,800,000 15,800,000          
Cumulative inflation rate before a country is considered highly inflationary (as a percent)     100.00%            
Aggregate foreign currency gain (loss) $ (700,000) $ (3,200,000) $ (4,900,000) $ (6,000,000.0)          
Operating Revenue | Geographic Concentration Risk | International Locations                  
Summary of Significant Accounting Policies [Line Items]                  
Concentration percentage 4.80% 7.30%   7.90%          
Argentina                  
Summary of Significant Accounting Policies [Line Items]                  
Cash $ 19,600,000   $ 19,600,000            
South America | Operating Revenue | Geographic Concentration Risk | International Locations | International Solutions                  
Summary of Significant Accounting Policies [Line Items]                  
Concentration percentage 52.20% 33.20% 43.10% 68.20%          
Intercompany Eliminations                  
Summary of Significant Accounting Policies [Line Items]                  
Premium revenues and expenses $ 9,400,000 $ 10,400,000 $ 25,200,000 $ 28,900,000          
Cumulative Effect, Period of Adoption, Adjustment                  
Summary of Significant Accounting Policies [Line Items]                  
Accounts receivable, allowance for credit loss           $ 1,600,000      
Retained earnings           $ (1,300,000)      
Acquisition of Drilling Technology Companies                  
Summary of Significant Accounting Policies [Line Items]                  
Restricted cash 1,500,000   1,500,000       $ 3,600,000    
Houston Assembly Facility                  
Summary of Significant Accounting Policies [Line Items]                  
Operating lease right-of-use asset 16,400,000   16,400,000            
Operating lease liability $ 16,400,000   $ 16,400,000            
Minimum                  
Summary of Significant Accounting Policies [Line Items]                  
Lease contract term 1 year   1 year            
Number of geographical areas operating in (more than) | geographical_area     1            
Minimum | Houston Assembly Facility                  
Summary of Significant Accounting Policies [Line Items]                  
Lease renewal term 5 years   5 years            
Maximum                  
Summary of Significant Accounting Policies [Line Items]                  
Lease contract term 15 years   15 years            
Maximum | Houston Assembly Facility                  
Summary of Significant Accounting Policies [Line Items]                  
Lease renewal term 10 years   10 years            
2018 Credit Facility                  
Summary of Significant Accounting Policies [Line Items]                  
Maximum borrowing capacity                 $ 750,000,000.0
Borrowings outstanding $ 0   $ 0            
Available borrowing capacity $ 750,000,000.0   $ 750,000,000.0            
2018 Credit Facility | Letters of Credit                  
Summary of Significant Accounting Policies [Line Items]                  
Maximum borrowing capacity                 $ 75,000,000.0
2018 Credit Facility, Due November 2025                  
Summary of Significant Accounting Policies [Line Items]                  
Maximum borrowing capacity         $ 680,000,000.0