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Consolidated Statements of Cash Flows - USD ($)
$ in Millions
 3 Months Ended
Dec. 31, 2024
Dec. 31, 2023
Net cash used in operating activities    
Net Income $ 232.1 $ 256.3
Adjustments to reconcile net income to net cash used in operating activities:    
Stock-based compensation 73.2 66.8
Amortization of deferred sales commissions 20.2 13.4
Depreciation and other amortization 30.2 25.7
Amortization of intangible assets 112.6 85.8
Net losses (gains) on investments 57.1 (60.1)
Income (losses) from investments in equity method investees 7.6 (56.9)
Net (gains) losses on investments of consolidated investment products (87.2) 66.0
Net purchase of investments by consolidated investment products (83.9) (147.5)
Deferred income taxes 1.6 (57.7)
Other 31.6 31.6
Changes in operating assets and liabilities:    
Decrease (increase) in receivables and other assets 10.2 (36.7)
Decrease in investments, net 1.1 0.2
Decrease in accrued compensation and benefits (654.3) (508.0)
Increase in income taxes payable 55.0 107.9
Increase (decrease) in accounts payable, accrued expenses and other liabilities 95.0 (39.7)
Increase (decrease) in accounts payable and accrued expenses of consolidated investment products (47.3) 1.0
Net cash used in operating activities (145.2) (251.9)
Net cash used in investing activities    
Purchase of investments (458.0) (267.4)
Liquidation of investments 168.4 317.6
Purchase of investments by consolidated collateralized loan obligations (1,291.1) (794.0)
Liquidation of investments by consolidated collateralized loan obligations 1,001.1 697.0
Additions of property and equipment, net (71.8) (19.5)
Payments of deferred consideration liability 0.0 (60.8)
Net deconsolidation of investment products (5.1) (10.5)
Net cash used in investing activities (656.5) (137.6)
Net cash provided by (used in) financing activities    
Dividends paid on common stock (166.2) (155.7)
Repurchase of common stock (5.8) (58.8)
Proceeds from repurchase agreement 38.9 0.0
Payments on repurchase agreement (29.6) 0.0
Proceeds from debt of consolidated investment products 794.4 39.8
Payments on debt of consolidated investment products (714.9) (22.0)
Payments on contingent consideration liabilities (0.7) 0.0
Noncontrolling interests 171.8 37.7
Net cash provided by (used in) financing activities 87.9 (159.0)
Effect of Exchange Rate on Cash, Cash Equivalents, Restricted Cash, and Restricted Cash Equivalents, Continuing Operations (50.0) 25.7
Decrease in cash and cash equivalents (763.8) (522.8)
Cash and cash equivalents, beginning of period 4,408.9 4,402.4
Cash and Cash Equivalents, End of Period 3,645.1 3,879.6
Supplemental Disclosure of Cash Flow Information    
Cash paid for income taxes 27.9 26.8
Cash paid for interest 9.9 10.6
Cash paid for interest by consolidated investment products $ 202.0 $ 161.6