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Restructuring and Related Charges (Location of restructuring amounts) (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2019
Sep. 30, 2018
Sep. 30, 2017
Restructuring Cost and Reserve [Line Items]      
Restructuring charges $ 12,993 $ 10,422 $ 31,665
Cost of services      
Restructuring Cost and Reserve [Line Items]      
Restructuring charges 6,257 3,897 14,574
General and administrative expense      
Restructuring Cost and Reserve [Line Items]      
Restructuring charges 5,531 4,775 7,877
Sales and marketing expense      
Restructuring Cost and Reserve [Line Items]      
Restructuring charges 1,082 908 8,727
Research and development expense      
Restructuring Cost and Reserve [Line Items]      
Restructuring charges 123 606 487
Other operating (income) expense, net      
Restructuring Cost and Reserve [Line Items]      
Restructuring charges $ 0 $ 236 $ 0