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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, 2024
Sep. 30, 2023
Assets [Abstract]    
Investments, at fair value $ 720.4 $ 872.8
CIPs [Member]    
Assets [Abstract]    
Investments, at fair value 11,631.6 9,637.2
Fair Value, Recurring [Member]    
Assets [Abstract]    
Total Assets Measured at Fair Value 720.4 872.8
Fair Value, Recurring [Member] | Level 1 [Member]    
Assets [Abstract]    
Total Assets Measured at Fair Value 451.0 528.1
Fair Value, Recurring [Member] | Level 2 [Member]    
Assets [Abstract]    
Total Assets Measured at Fair Value 153.4 223.2
Fair Value, Recurring [Member] | Level 3 [Member]    
Assets [Abstract]    
Total Assets Measured at Fair Value 9.6 21.8
Fair Value, Recurring [Member] | NAV as a Practical Expedient [Member]    
Assets [Abstract]    
Total Assets Measured at Fair Value 106.4 99.7
Fair Value, Recurring [Member] | CIPs [Member]    
Assets [Abstract]    
Total Assets Measured at Fair Value 12,360.3 10,106.2
Fair Value, Recurring [Member] | CIPs [Member] | Level 1 [Member]    
Assets [Abstract]    
Total Assets Measured at Fair Value 780.5 563.2
Fair Value, Recurring [Member] | CIPs [Member] | Level 2 [Member]    
Assets [Abstract]    
Total Assets Measured at Fair Value 10,837.3 8,804.1
Fair Value, Recurring [Member] | CIPs [Member] | Level 3 [Member]    
Assets [Abstract]    
Total Assets Measured at Fair Value 578.0 584.9
Fair Value, Recurring [Member] | CIPs [Member] | NAV as a Practical Expedient [Member]    
Assets [Abstract]    
Total Assets Measured at Fair Value 164.5 154.0
Equity and debt securities [Member] | Fair Value, Recurring [Member] | CIPs [Member]    
Assets [Abstract]    
Investments, at fair value 2,064.6 1,592.4
Equity and debt securities [Member] | Fair Value, Recurring [Member] | CIPs [Member] | Level 1 [Member]    
Assets [Abstract]    
Investments, at fair value 266.5 210.9
Equity and debt securities [Member] | Fair Value, Recurring [Member] | CIPs [Member] | Level 2 [Member]    
Assets [Abstract]    
Investments, at fair value 1,055.6 642.6
Equity and debt securities [Member] | Fair Value, Recurring [Member] | CIPs [Member] | Level 3 [Member]    
Assets [Abstract]    
Investments, at fair value 578.0 584.9
Equity and debt securities [Member] | Fair Value, Recurring [Member] | CIPs [Member] | NAV as a Practical Expedient [Member]    
Assets [Abstract]    
Investments, at fair value 164.5 154.0
Loans [Member] | Fair Value, Recurring [Member] | CIPs [Member]    
Assets [Abstract]    
Investments, at fair value 9,567.0 8,044.8
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 9,567.0 8,044.8
Loans [Member] | Fair Value, Recurring [Member] | CIPs [Member] | Level 3 [Member]    
Assets [Abstract]    
Investments, at fair value 0.0 0.0
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 9,741.6 8,196.8
Collateralized loan obligations [Member] | Fair Value, Recurring [Member]    
Assets [Abstract]    
Cash and cash equivalents of CLOs 514.0 352.3
Receivables of CLOs 214.7 116.7
Collateralized loan obligations [Member] | Fair Value, Recurring [Member] | Level 1 [Member]    
Assets [Abstract]    
Cash and cash equivalents of CLOs 514.0 352.3
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 214.7 116.7
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