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Segment Information - Reconciliation of Reportable Segment Operating Income (Loss) to Corresponding Consolidated Amounts (Details) - USD ($)
$ in Thousands
3 Months Ended 6 Months Ended
Mar. 31, 2018
Mar. 31, 2017
Mar. 31, 2018
Mar. 31, 2017
Segment Reporting Information [Line Items]        
Amortization of acquired intangible assets     $ 11,100 $ 8,400
Restructuring Charges $ 49 $ 860 49 1,835
Total operating income (loss) 23,819 14,801 44,659 27,963
Operating Segments        
Segment Reporting Information [Line Items]        
Total operating income (loss) 33,519 21,293 59,741 38,776
Segment Reconciling Items        
Segment Reporting Information [Line Items]        
Amortization of acquired intangible assets 4,629 3,294 9,218 6,358
Corporate, Non-Segment        
Segment Reporting Information [Line Items]        
Other unallocated corporate expenses $ 5,022 $ 2,338 $ 5,815 $ 2,620