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SUMMARY OF SIGNIFICANT ACCOUNTING POLICIES, RISKS AND UNCERTAINTIES - Narrative (Details)
 3 Months Ended 6 Months Ended
Mar. 31, 2021
USD ($)
renewalOption
Mar. 31, 2020
USD ($)
Mar. 31, 2021
USD ($)
renewalOption
geographical_area
Mar. 31, 2020
USD ($)
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 $ 561,700,000   $ 561,700,000            
Number of renewal options | renewalOption 1   1            
Operating lease right-of-use asset $ 56,474,000   $ 56,474,000       $ 44,583,000    
Restricted cash 51,400,000 $ 44,100,000 51,400,000 $ 44,100,000     48,900,000 $ 35,000,000.0  
Restricted cash from initial capitalization of captive insurance company 3,100,000   3,100,000       2,000,000.0    
Additional cash restricted at the election of management for potential insurance claims 45,100,000   45,100,000       43,100,000    
Retained earnings 2,762,735,000   2,762,735,000       3,010,012,000    
Underwriting expenses 2,300,000 6,000,000.0 2,800,000 14,700,000          
Stop-loss program, maximum amount of claim     $ 50,000            
Cumulative inflation rate before a country is considered highly inflationary (as a percent)     100.00%            
Aggregate foreign currency gain (loss) (2,400,000) $ (3,400,000) $ (4,200,000) $ (2,800,000)          
Houston Assembly Facility                  
Summary of Significant Accounting Policies [Line Items]                  
Operating lease right-of-use asset 15,500,000   15,500,000            
Operating lease liability $ 15,500,000   $ 15,500,000            
Operating Revenue | Geographic Concentration Risk | International Locations                  
Summary of Significant Accounting Policies [Line Items]                  
Concentration percentage 5.20% 8.20% 4.90% 8.00%          
Argentina                  
Summary of Significant Accounting Policies [Line Items]                  
Cash $ 22,200,000   $ 22,200,000            
South America | Operating Revenue | Geographic Concentration Risk | International Locations | International Solutions                  
Summary of Significant Accounting Policies [Line Items]                  
Concentration percentage 51.40% 66.40% 37.60% 76.20%          
Intercompany Eliminations                  
Summary of Significant Accounting Policies [Line Items]                  
Premium revenues and expenses $ 8,700,000 $ 10,500,000 $ 15,800,000 $ 18,200,000          
Minimum                  
Summary of Significant Accounting Policies [Line Items]                  
Lease contract term 1 year   1 year            
Insurance coverage deductibles range for claims which occur outside or inside the United States     $ 1,000,000            
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            
Insurance coverage deductibles range for claims which occur outside or inside the United States     $ 10,000,000            
Maximum | Houston Assembly Facility                  
Summary of Significant Accounting Policies [Line Items]                  
Lease renewal term 10 years   10 years            
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 $ 3,200,000   $ 3,200,000       $ 3,600,000    
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 | Subsequent Event                  
Summary of Significant Accounting Policies [Line Items]                  
Maximum borrowing capacity         $ 680,000,000.0        
2018 Credit Facility, Due November 2024 | Subsequent Event                  
Summary of Significant Accounting Policies [Line Items]                  
Maximum borrowing capacity         $ 70,000,000.0