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Goodwill and Intangible Assets (Schedule of Goodwill) (Details) - USD ($)
$ in Thousands
3 Months Ended 9 Months Ended
Jun. 29, 2019
Jun. 29, 2019
Goodwill [Line Items]    
Balance, October 1, 2018   $ 1,182,457
Foreign currency translation adjustment   (3,691)
Balance, June 29, 2019 $ 1,245,084 1,245,084
Software Products    
Goodwill [Line Items]    
Balance, October 1, 2018   1,152,720
Foreign currency translation adjustment   (3,598)
Balance, June 29, 2019 1,202,795 1,202,795
Professional Services    
Goodwill [Line Items]    
Balance, October 1, 2018   29,737
Foreign currency translation adjustment   (93)
Balance, June 29, 2019 42,289 42,289
Frustum [Member]    
Goodwill [Line Items]    
Goodwill, acquired   53,673
Frustum [Member] | Software Products    
Goodwill [Line Items]    
Goodwill, acquired   53,673
Frustum [Member] | Professional Services    
Goodwill [Line Items]    
Goodwill, acquired   0
other acquisition [Member]    
Goodwill [Line Items]    
Goodwill, acquired $ 12,600 12,645
other acquisition [Member] | Software Products    
Goodwill [Line Items]    
Goodwill, acquired   0
other acquisition [Member] | Professional Services    
Goodwill [Line Items]    
Goodwill, acquired   $ 12,645