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Consolidated Statements of Cash Flows - USD ($)
$ in Thousands
 12 Months Ended
Sep. 30, 2017
Sep. 30, 2016
Sep. 30, 2015
Cash Flow from Operating Activities:      
Net income $ 436,826 $ 409,331 $ 446,163
Reconciliation of net income to net cash provided by operating activities:      
Depreciation and amortization 214,885 211,791 174,795
Equity-based compensation expense 44,539 42,700 44,560
Deferred income taxes 6,551 (2,315) (26,887)
Excess tax benefit from equity-based compensation (4,666) (6,913) (5,949)
Loss from short-term interest-bearing investments 9 407 476
Net changes in operating assets and liabilities, net of amounts acquired:      
Accounts receivable, net (41,075) (70,859) 39,829
Prepaid expenses and other current assets 11,002 (11,164) 22,690
Other noncurrent assets (52,667) 2,587 7,406
Accounts payable, accrued expenses and accrued personnel 72,049 59,982 63,894
Deferred revenue (50,230) (49,828) 2,434
Income taxes payable, net (15,145) 10,112 23,474
Other noncurrent liabilities 14,034 24,403 (20,263)
Net cash provided by operating activities 636,112 620,234 772,622
Cash Flow from Investing Activities:      
Payments for purchase of equipment and leasehold improvements, net (133,392) (130,086) (120,503)
Proceeds from sale of short-term interest-bearing investments 278,066 361,960 252,818
Purchase of short-term interest-bearing investments (281,983) (370,742) (250,184)
Net cash paid for acquisitions (18,064) (283,450) (263,193)
Other (29,940) (18,533) 1,408
Net cash used in investing activities (185,313) (440,851) (379,654)
Cash Flow from Financing Activities:      
Borrowings under financing arrangements 200,000 200,000 220,000
Payments under financing arrangements (400,000) (220,000) (210,000)
Repurchase of shares (340,597) (413,422) (454,020)
Proceeds from employee stock option exercises 87,586 89,600 78,206
Payments of dividends (121,503) (109,304) (100,790)
Excess tax benefit from equity-based compensation and other 4,666 6,830 5,940
Net cash used in financing activities (569,848) (446,296) (460,664)
Net (decrease) increase in cash and cash equivalents (119,049) (266,913) (67,696)
Cash and cash equivalents at beginning of year 768,660 1,035,573 1,103,269
Cash and cash equivalents at end of year 649,611 768,660 1,035,573
Cash paid for:      
Income taxes, net of refunds 67,544 50,407 51,141
Interest $ 1,145 $ 576 $ 548