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Consolidated Investment Products - Schedule of Valuation Techniques and Significant Unobservable Inputs used in Level 3 Fair Value Measurements (Details) $ in Millions	Mar. 31, 2025 USD ($) $ / shares	Sep. 30, 2024 USD ($) $ / shares
Schedule Of Consolidated Investment Products [Line Items]
Total investments, at fair value	$ 636.4	$ 838.0
CIPs [Member]
Schedule Of Consolidated Investment Products [Line Items]
Total investments, at fair value	11,859.6	11,034.9
Fair Value, Recurring [Member] | CIPs [Member] | Equity and debt securities [Member]
Schedule Of Consolidated Investment Products [Line Items]
Total investments, at fair value	2,543.3	1,856.3
Fair Value, Recurring [Member] | CIPs [Member] | Loans [Member]
Schedule Of Consolidated Investment Products [Line Items]
Total investments, at fair value	9,316.3	9,178.6
Fair Value, Recurring [Member] | CIPs [Member] | Level 3 [Member] | Equity and debt securities [Member]
Schedule Of Consolidated Investment Products [Line Items]
Total investments, at fair value	545.0	550.1
Fair Value, Recurring [Member] | CIPs [Member] | Level 3 [Member] | Equity and debt securities [Member] | Market pricing [Member]
Schedule Of Consolidated Investment Products [Line Items]
Total investments, at fair value	$ 260.5	$ 214.5
Fair Value, Recurring [Member] | CIPs [Member] | Level 3 [Member] | Equity and debt securities [Member] | Market pricing [Member] | Private sale pricing [Member] | Minimum [Member]
Schedule Of Consolidated Investment Products [Line Items]
Investments, measurement input | $ / shares	0.37	0.01
Fair Value, Recurring [Member] | CIPs [Member] | Level 3 [Member] | Equity and debt securities [Member] | Market pricing [Member] | Private sale pricing [Member] | Maximum [Member]
Schedule Of Consolidated Investment Products [Line Items]
Investments, measurement input | $ / shares	1,850	1,000
Fair Value, Recurring [Member] | CIPs [Member] | Level 3 [Member] | Equity and debt securities [Member] | Market pricing [Member] | Private sale pricing [Member] | Weighted Average [Member]
Schedule Of Consolidated Investment Products [Line Items]
Investments, measurement input | $ / shares	162.84	73.04
Fair Value, Recurring [Member] | CIPs [Member] | Level 3 [Member] | Equity and debt securities [Member] | Market pricing [Member] | Discount for lack of marketability [Member] | Minimum [Member]
Schedule Of Consolidated Investment Products [Line Items]
Investments, measurement input	0.100	0.098
Fair Value, Recurring [Member] | CIPs [Member] | Level 3 [Member] | Equity and debt securities [Member] | Market pricing [Member] | Discount for lack of marketability [Member] | Maximum [Member]
Schedule Of Consolidated Investment Products [Line Items]
Investments, measurement input	0.500	0.175
Fair Value, Recurring [Member] | CIPs [Member] | Level 3 [Member] | Equity and debt securities [Member] | Market pricing [Member] | Discount for lack of marketability [Member] | Weighted Average [Member]
Schedule Of Consolidated Investment Products [Line Items]
Investments, measurement input	0.222	0.115
Fair Value, Recurring [Member] | CIPs [Member] | Level 3 [Member] | Equity and debt securities [Member] | Market comparable companies [Member]
Schedule Of Consolidated Investment Products [Line Items]
Total investments, at fair value	$ 234.5	$ 291.6
Fair Value, Recurring [Member] | CIPs [Member] | Level 3 [Member] | Equity and debt securities [Member] | Market comparable companies [Member] | Discount for lack of marketability [Member] | Minimum [Member]
Schedule Of Consolidated Investment Products [Line Items]
Investments, measurement input	0.082	0.001
Fair Value, Recurring [Member] | CIPs [Member] | Level 3 [Member] | Equity and debt securities [Member] | Market comparable companies [Member] | Discount for lack of marketability [Member] | Maximum [Member]
Schedule Of Consolidated Investment Products [Line Items]
Investments, measurement input	0.116	0.104
Fair Value, Recurring [Member] | CIPs [Member] | Level 3 [Member] | Equity and debt securities [Member] | Market comparable companies [Member] | Discount for lack of marketability [Member] | Weighted Average [Member]
Schedule Of Consolidated Investment Products [Line Items]
Investments, measurement input	0.109	0.081
Fair Value, Recurring [Member] | CIPs [Member] | Level 3 [Member] | Equity and debt securities [Member] | Market comparable companies [Member] | Revenue multiple [Member] | Minimum [Member]
Schedule Of Consolidated Investment Products [Line Items]
Investments, measurement input	1.3	1.2
Fair Value, Recurring [Member] | CIPs [Member] | Level 3 [Member] | Equity and debt securities [Member] | Market comparable companies [Member] | Revenue multiple [Member] | Maximum [Member]
Schedule Of Consolidated Investment Products [Line Items]
Investments, measurement input	27.3	22.8
Fair Value, Recurring [Member] | CIPs [Member] | Level 3 [Member] | Equity and debt securities [Member] | Market comparable companies [Member] | Revenue multiple [Member] | Weighted Average [Member]
Schedule Of Consolidated Investment Products [Line Items]
Investments, measurement input	10.4	10.9
Fair Value, Recurring [Member] | CIPs [Member] | Level 3 [Member] | Equity and debt securities [Member] | Discounted cash flow [Member]
Schedule Of Consolidated Investment Products [Line Items]
Total investments, at fair value	$ 39.9	$ 44.0
Fair Value, Recurring [Member] | CIPs [Member] | Level 3 [Member] | Equity and debt securities [Member] | Discounted cash flow [Member] | Discount rate [Member] | Minimum [Member]
Schedule Of Consolidated Investment Products [Line Items]
Investments, measurement input	0.068
Fair Value, Recurring [Member] | CIPs [Member] | Level 3 [Member] | Equity and debt securities [Member] | Discounted cash flow [Member] | Discount rate [Member] | Maximum [Member]
Schedule Of Consolidated Investment Products [Line Items]
Investments, measurement input	0.071
Fair Value, Recurring [Member] | CIPs [Member] | Level 3 [Member] | Equity and debt securities [Member] | Discounted cash flow [Member] | Discount rate [Member] | Weighted Average [Member]
Schedule Of Consolidated Investment Products [Line Items]
Investments, measurement input	0.069	0.068	[1]
Fair Value, Recurring [Member] | CIPs [Member] | Level 3 [Member] | Equity and debt securities [Member] | Valuation Technique, Option Pricing Model
Schedule Of Consolidated Investment Products [Line Items]
Total investments, at fair value	$ 10.1
Fair Value, Recurring [Member] | CIPs [Member] | Level 3 [Member] | Equity and debt securities [Member] | Valuation Technique, Option Pricing Model | Discount for lack of marketability [Member] | Minimum [Member]
Schedule Of Consolidated Investment Products [Line Items]
Investments, measurement input	0.103
Fair Value, Recurring [Member] | CIPs [Member] | Level 3 [Member] | Equity and debt securities [Member] | Valuation Technique, Option Pricing Model | Discount for lack of marketability [Member] | Maximum [Member]
Schedule Of Consolidated Investment Products [Line Items]
Investments, measurement input	0.211
Fair Value, Recurring [Member] | CIPs [Member] | Level 3 [Member] | Equity and debt securities [Member] | Valuation Technique, Option Pricing Model | Discount for lack of marketability [Member] | Weighted Average [Member]
Schedule Of Consolidated Investment Products [Line Items]
Investments, measurement input	0.113
Fair Value, Recurring [Member] | CIPs [Member] | Level 3 [Member] | Equity and debt securities [Member] | Valuation Technique, Option Pricing Model | Measurement Input, Option Volatility | Minimum [Member]
Schedule Of Consolidated Investment Products [Line Items]
Investments, measurement input	0.408
Fair Value, Recurring [Member] | CIPs [Member] | Level 3 [Member] | Equity and debt securities [Member] | Valuation Technique, Option Pricing Model | Measurement Input, Option Volatility | Maximum [Member]
Schedule Of Consolidated Investment Products [Line Items]
Investments, measurement input	1.017
Fair Value, Recurring [Member] | CIPs [Member] | Level 3 [Member] | Equity and debt securities [Member] | Valuation Technique, Option Pricing Model | Measurement Input, Option Volatility | Weighted Average [Member]
Schedule Of Consolidated Investment Products [Line Items]
Investments, measurement input	0.466
Fair Value, Recurring [Member] | CIPs [Member] | Level 3 [Member] | Loans [Member]
Schedule Of Consolidated Investment Products [Line Items]
Total investments, at fair value	$ 8.5	$ 0.5
[1] Based on the relative fair value of the instruments.

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[Line Items] for Tabular disclosure of qualitative and quantitative information related to investment products holds, whether or not such investment products (CIP) is included in the reporting entity's consolidated financial statements. Includes, but is not limited to, description of the significant judgments and assumptions made in determining whether a CIP (as defined) held by the entity requires the CIP (as defined) to be consolidated and (or) disclose information about its involvement with the CIP, individually or in aggregate (as applicable); the nature of restrictions, if any, on the CIP's assets and on the settlement of its liabilities reported by an entity in its statement of financial position, including the carrying amounts of such assets and liabilities; the nature of, and changes in, the risks associated with involvement in the CIP; how involvement with the CIP affects the entity's financial position, financial performance, and cash flows; the lack of recourse if creditors (or beneficial interest holders) of the CIP have no recourse to the general credit of the primary beneficiary (if applicable); the terms of arrangements, giving consideration to both explicit arrangements and implicit variable interests, if any, that could require the entity to provide financial support to the SIP, including events or circumstances that could expose the entity to a loss; the methodology used by the entity for determining whether or not it is the primary beneficiary of the consolidated investment products; the significant factors considered and judgments made in determining that the power to direct the activities of a CIP that most significantly impact the CIP's economic performance are shared (as defined); the carrying amounts and classification of assets and liabilities of the CIP included in the statement of financial position.

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Fair value portion of investment securities, including, but not limited to, marketable securities, derivative financial instruments, and investments accounted for under the equity method.

+ References

Reference 1: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 820
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 2E
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482106/820-10-50-2E

Reference 2: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 820
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Subparagraph (b)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482106/820-10-50-2

Reference 3: http://www.xbrl.org/2009/role/commonPracticeRef
-Topic 820
-SubTopic 10
-Name Accounting Standards Codification
-Section 50
-Paragraph 2
-Subparagraph (a)
-Publisher FASB
-URI https://asc.fasb.org/1943274/2147482106/820-10-50-2

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