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Goodwill and Acquired Intangible Assets (Schedule Of Movements of Goodwill by Reportable Segment) (Details) - USD ($)
$ in Thousands
12 Months Ended
Nov. 19, 2018
Sep. 30, 2019
Sep. 30, 2018
Goodwill [Roll Forward]      
Balance, beginning of period   $ 1,182,457 $ 1,182,772
Foreign currency translation adjustments   (10,596) (4,665)
Balance, end of period   1,238,179 1,182,457
Software Products [Member]      
Goodwill [Roll Forward]      
Balance, beginning of period   1,152,720 1,152,917
Foreign currency translation adjustments   (10,329) (4,547)
Balance, end of period   1,196,064 1,152,720
Professional Services [Member]      
Goodwill [Roll Forward]      
Balance, beginning of period   29,737 29,855
Foreign currency translation adjustments   (267) (118)
Balance, end of period   42,115 29,737
Other acquisitions [Member]      
Goodwill [Roll Forward]      
Goodwill acquired   12,645 4,350
Other acquisitions [Member] | Software Products [Member]      
Goodwill [Roll Forward]      
Goodwill acquired   0 4,350
Other acquisitions [Member] | Professional Services [Member]      
Goodwill [Roll Forward]      
Goodwill acquired   12,645 $ 0
Frustum [Member]      
Goodwill [Roll Forward]      
Goodwill acquired $ 53,700 53,673  
Frustum [Member] | Software Products [Member]      
Goodwill [Roll Forward]      
Goodwill acquired   53,673  
Frustum [Member] | Professional Services [Member]      
Goodwill [Roll Forward]      
Goodwill acquired   $ 0