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Segment and Geographic Information - Summary of Revenue and Profit Attributable to Our Operating Segments (Details) - USD ($)
$ in Thousands
 12 Months Ended
Sep. 30, 2021
Sep. 30, 2020
Sep. 30, 2019
Segment Reporting Revenue Reconciling Item [Line Items]      
Revenue $ 1,807,159 $ 1,458,415 $ 1,255,631
Operating costs 371,102 334,271 325,378
Gross margin 1,436,057 1,124,144 930,253
Sales and marketing 517,779 435,451 417,449
General and administrative 206,006 159,826 127,919
Intangibles amortization 59,165 56,104 51,148
Restructuring and other charges, net 2,211 32,716 51,114
Total operating income 380,748 210,863 63,042
Interest expense (50,478) (76,428) (43,047)
Other income, net 61,485 271 305
Income before income taxes 391,755 134,706 20,300
Operating Segments      
Segment Reporting Revenue Reconciling Item [Line Items]      
Revenue 1,807,159 1,458,415 1,255,631
Operating costs 587,715 522,481 511,310
Gross margin 1,219,444 935,934 744,321
Operating Segments | Software Products      
Segment Reporting Revenue Reconciling Item [Line Items]      
Revenue 1,649,341 1,314,617 1,088,100
Operating costs 451,734 393,803 377,464
Gross margin 1,197,607 920,814 710,636
Operating Segments | Professional Services      
Segment Reporting Revenue Reconciling Item [Line Items]      
Revenue 157,818 143,798 167,531
Operating costs 135,981 128,678 133,846
Gross margin 21,837 15,120 33,685
Unallocated      
Segment Reporting Revenue Reconciling Item [Line Items]      
Sales and marketing 464,067 398,100 385,423
General and administrative 120,954 114,386 104,393
Intangibles amortization 59,165 56,104 51,147
Restructuring and other charges, net 2,211 32,716 51,114
Stock-based compensation 177,289 115,149 86,400
Other unallocated operating expenses $ 15,010 $ 8,616 $ 2,802