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Consolidated Investment Products - Schedule of Balances of Assets and Liabilities of CIPs Measured at Fair Value (Details) - USD ($) $ in Millions	Jun. 30, 2025	Sep. 30, 2024
Assets [Abstract]
Investments, at fair value	$ 1,080.6	$ 838.0
CIPs [Member]
Assets [Abstract]
Investments, at fair value	11,420.7	11,034.9
Fair Value, Recurring [Member]
Assets [Abstract]
Total Assets Measured at Fair Value	1,064.5	838.0
Fair Value, Recurring [Member] | Level 1 [Member]
Assets [Abstract]
Total Assets Measured at Fair Value	736.3	552.9
Fair Value, Recurring [Member] | Level 2 [Member]
Assets [Abstract]
Total Assets Measured at Fair Value	226.9	168.5
Fair Value, Recurring [Member] | Level 3 [Member]
Assets [Abstract]
Total Assets Measured at Fair Value	5.0	7.8
Fair Value, Recurring [Member] | NAV as a Practical Expedient [Member]
Assets [Abstract]
Total Assets Measured at Fair Value	96.3	108.8
Fair Value, Recurring [Member] | CIPs [Member]
Assets [Abstract]
Total Assets Measured at Fair Value	12,173.0	11,948.8
Fair Value, Recurring [Member] | CIPs [Member] | Level 1 [Member]
Assets [Abstract]
Total Assets Measured at Fair Value	611.6	994.0
Fair Value, Recurring [Member] | CIPs [Member] | Level 2 [Member]
Assets [Abstract]
Total Assets Measured at Fair Value	10,832.2	10,217.1
Fair Value, Recurring [Member] | CIPs [Member] | Level 3 [Member]
Assets [Abstract]
Total Assets Measured at Fair Value	560.5	550.6
Fair Value, Recurring [Member] | CIPs [Member] | NAV as a Practical Expedient [Member]
Assets [Abstract]
Total Assets Measured at Fair Value	168.7	187.1
Equity and debt securities [Member] | Fair Value, Recurring [Member] | CIPs [Member]
Assets [Abstract]
Investments, at fair value	1,660.5	1,856.3
Equity and debt securities [Member] | Fair Value, Recurring [Member] | CIPs [Member] | Level 1 [Member]
Assets [Abstract]
Investments, at fair value	212.3	229.7
Equity and debt securities [Member] | Fair Value, Recurring [Member] | CIPs [Member] | Level 2 [Member]
Assets [Abstract]
Investments, at fair value	728.9	889.4
Equity and debt securities [Member] | Fair Value, Recurring [Member] | CIPs [Member] | Level 3 [Member]
Assets [Abstract]
Investments, at fair value	550.6	550.1
Equity and debt securities [Member] | Fair Value, Recurring [Member] | CIPs [Member] | NAV as a Practical Expedient [Member]
Assets [Abstract]
Investments, at fair value	168.7	187.1
Loans [Member] | Fair Value, Recurring [Member] | CIPs [Member]
Assets [Abstract]
Investments, at fair value	9,760.2	9,178.6
Loans [Member] | Fair Value, Recurring [Member] | CIPs [Member] | Level 1 [Member]
Assets [Abstract]
Investments, at fair value	0.0	0.0
Loans [Member] | Fair Value, Recurring [Member] | CIPs [Member] | Level 2 [Member]
Assets [Abstract]
Investments, at fair value	9,750.3	9,178.1
Loans [Member] | Fair Value, Recurring [Member] | CIPs [Member] | Level 3 [Member]
Assets [Abstract]
Investments, at fair value	9.9	0.5
Loans [Member] | Fair Value, Recurring [Member] | CIPs [Member] | NAV as a Practical Expedient [Member]
Assets [Abstract]
Investments, at fair value	0.0	0.0
Collateralized loan obligations [Member]
Assets [Abstract]
Investments, at fair value	9,939.1	9,352.1
Collateralized loan obligations [Member] | Fair Value, Recurring [Member]
Assets [Abstract]
Cash and cash equivalents of CLOs	399.3	764.3
Receivables of CLOs	353.0	149.6
Collateralized loan obligations [Member] | Fair Value, Recurring [Member] | Level 1 [Member]
Assets [Abstract]
Cash and cash equivalents of CLOs	399.3	764.3
Receivables of CLOs	0.0	0.0
Collateralized loan obligations [Member] | Fair Value, Recurring [Member] | Level 2 [Member]
Assets [Abstract]
Cash and cash equivalents of CLOs	0.0	0.0
Receivables of CLOs	353.0	149.6
Collateralized loan obligations [Member] | Fair Value, Recurring [Member] | Level 3 [Member]
Assets [Abstract]
Cash and cash equivalents of CLOs	0.0	0.0
Receivables of CLOs	0.0	0.0
Collateralized loan obligations [Member] | Fair Value, Recurring [Member] | NAV as a Practical Expedient [Member]
Assets [Abstract]
Cash and cash equivalents of CLOs	0.0	0.0
Receivables of CLOs	$ 0.0	$ 0.0

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