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Restructuring and Related Charges (Location of restructuring amounts) (Details) - USD ($)
$ in Thousands
12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Restructuring Cost and Reserve [Line Items]      
Restructuring charges $ 9,149 $ 12,135 $ 12,993
Cost of services      
Restructuring Cost and Reserve [Line Items]      
Restructuring charges 4,554 8,305 6,257
General and administrative expense      
Restructuring Cost and Reserve [Line Items]      
Restructuring charges 3,199 3,053 5,531
Sales and marketing expense      
Restructuring Cost and Reserve [Line Items]      
Restructuring charges 348 305 1,082
Research and development expense      
Restructuring Cost and Reserve [Line Items]      
Restructuring charges (16) 23 123
Other operating expense, net      
Restructuring Cost and Reserve [Line Items]      
Restructuring charges $ 1,064 $ 449 $ 0