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Consolidated Statements of Cash Flows - USD ($)
$ in Thousands
 12 Months Ended
Sep. 30, 2018
Sep. 30, 2017
Sep. 30, 2016
Cash Flow from Operating Activities:      
Net income $ 354,396 $ 436,826 $ 409,331
Reconciliation of net income to net cash provided by operating activities:      
Depreciation and amortization 211,224 214,885 211,791
Equity-based compensation expense 47,476 44,539 42,700
Deferred income taxes 25,098 6,551 (2,315)
Excess tax benefit from equity-based compensation   (4,666) (6,913)
Loss from short-term interest-bearing investments 1,324 9 407
Net changes in operating assets and liabilities, net of amounts acquired:      
Accounts receivable, net (66,451) (41,075) (70,859)
Prepaid expenses and other current assets (18,736) 11,002 (11,164)
Other noncurrent assets 9,674 (52,667) 2,587
Accounts payable, accrued expenses and accrued personnel 25,348 72,049 59,982
Deferred revenue 7,650 (50,230) (49,828)
Income taxes payable, net (31,036) (15,145) 10,112
Other noncurrent liabilities (8,718) 14,034 24,403
Net cash provided by operating activities 557,249 636,112 620,234
Cash Flow from Investing Activities:      
Purchase of property and equipment (231,146) (133,392) (130,086)
Proceeds from sale of short-term interest-bearing investments 303,090 278,066 361,960
Purchase of short-term interest-bearing investments (76,037) (281,983) (370,742)
Net cash paid for acquisitions (355,142) (18,064) (283,450)
Other (3,157) (29,940) (18,533)
Net cash used in investing activities (362,392) (185,313) (440,851)
Cash Flow from Financing Activities:      
Borrowings under financing arrangements 120,000 200,000 200,000
Payments under financing arrangements (120,000) (400,000) (220,000)
Repurchase of shares (419,228) (340,597) (413,422)
Proceeds from employee stock option exercises 81,280 87,586 89,600
Payments of dividends (134,292) (121,503) (109,304)
Investment by noncontrolling interests, net 47,013    
Excess tax benefit from equity-based compensation and other (458) 4,666 6,830
Net cash used in financing activities (425,685) (569,848) (446,296)
Net decrease in cash and cash equivalents (230,828) (119,049) (266,913)
Cash and cash equivalents at beginning of year 649,611 768,660 1,035,573
Cash and cash equivalents at end of year 418,783 649,611 768,660
Cash paid for:      
Income taxes, net of refunds 55,938 67,544 50,407
Interest $ 2,009 $ 1,145 $ 576