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Other Financial Information (Details) - USD ($)
$ / shares in Units, $ in Thousands
 3 Months Ended 12 Months Ended
Sep. 30, 2022
Jun. 30, 2022
Mar. 31, 2022
Dec. 31, 2021
Sep. 30, 2021
Jun. 30, 2021
Mar. 31, 2021
Dec. 31, 2020
Sep. 30, 2022
Sep. 30, 2021
Sep. 30, 2020
Jun. 08, 2022
Accrued expenses and other current liabilities                        
Accrued salaries and benefits $ 602,200       $ 661,800       $ 602,200 $ 661,800    
Accrued contract costs 1,246,000       1,202,100       1,246,000 1,202,100    
Other accrued expenses 333,200       310,300       333,200 310,300    
Total accrued expenses 2,181,408       2,174,201       2,181,408 2,174,201    
Restructuring costs 18,600 $ 12,200 $ 73,300 $ 3,400 14,000 $ 13,000 $ 8,800 $ 13,000 107,501 48,840 $ 188,345  
Accrued restructuring expenses 7,900       5,200       7,900 5,200    
Restructuring cost related to margins and delivery efficiency                 38,400      
Dividend paid per share in cash                       $ 0.15
Accrued and unpaid dividend 22,000               22,000      
Foreign Currency Translation Adjustments                        
Accrued expenses and other current liabilities                        
Amounts reclassified from accumulated other comprehensive (loss) income                 19,500      
Personnel and other costs                        
Accrued expenses and other current liabilities                        
Restructuring costs                 27,500 37,800    
Real estate costs                        
Accrued expenses and other current liabilities                        
Restructuring costs                 10,900 11,000    
Real estate costs                        
Accrued expenses and other current liabilities                        
Restructuring costs     69,100                  
Real estate costs | Russia                        
Accrued expenses and other current liabilities                        
Restructuring costs                 69,100      
Accrued restructuring expenses 2,100               2,100      
Real estate costs | Russia | Foreign Currency Translation Adjustments                        
Accrued expenses and other current liabilities                        
Amounts reclassified from accumulated other comprehensive (loss) income     $ 19,500                  
Professional liability accrual                        
Accrued expenses and other current liabilities                        
Accrued contract costs $ 713,600       $ 736,400       $ 713,600 $ 736,400