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Fair Value Measurements
 6 Months Ended
Jun. 30, 2023
Fair Value Disclosures [Abstract]  
Fair Value Measurements Fair Value MeasurementsThe following tables summarize financial assets and liabilities that are measured at fair value on a recurring basis:
  Fair Value Measurements
 December 31,
2022
 Quoted Prices in Active Markets for Identical Assets (Level 1)Significant Other Observable Inputs (Level 2)Significant Unobservable Inputs (Level 3)
Financial Assets    
Investments in equity securities(1)
$447.9 $305.6 $142.3 $— 
Investments in debt securities(1)
269.0 — 269.0 — 
Derivative financial instruments(2)
0.5 — 0.5 — 
Financial Liabilities(3)
    
Contingent payment obligations$21.0 $— $— $21.0 
Affiliate equity purchase obligations24.5 — — 24.5 
Derivative financial instruments0.9 — 0.9 — 
  Fair Value Measurements
 June 30,
2023
 Quoted Prices in Active Markets for Identical Assets (Level 1)Significant Other Observable Inputs (Level 2)Significant Unobservable Inputs (Level 3)
Financial Assets    
Investments in equity securities(1)
$95.8 $95.8 $— $— 
Investments in debt securities(1)
348.4 — 348.4 — 
Derivative financial instruments(2)
1.9 — 1.9 — 
Financial Liabilities(3)
    
Contingent payment obligations$23.4 $— $— $23.4 
Affiliate equity purchase obligations68.4 — — 68.4 
Derivative financial instruments1.5 — 1.5 — 
__________________________
(1)Amounts are presented within Investments in marketable securities on the Consolidated Balance Sheets.
(2)Amounts are presented within Other assets on the Consolidated Balance Sheets.
(3)Amounts are presented within Other liabilities on the Consolidated Balance Sheets.
Level 3 Financial Liabilities
The following table presents the changes in level 3 liabilities:
 For the Three Months Ended June 30,
20222023
Contingent Payment ObligationsAffiliate
Equity Purchase Obligations		Contingent Payment ObligationsAffiliate
Equity Purchase Obligations
Balance, beginning of period$31.4 $47.6 $22.9 $60.9 
Purchases and issuances(1)
— 7.9 — 26.8 
Settlements and reductions— (26.9)— (16.8)
Net realized and unrealized (gains) losses(2)
(17.2)(3.6)0.5 (2.5)
Balance, end of period$14.2 $25.0 $23.4 $68.4 
Net change in unrealized (gains) losses relating to instruments still held at the reporting date(1)
$(17.2)$(3.5)$0.5 $(1.8)
 For the Six Months Ended June 30,
20222023
Contingent Payment ObligationsAffiliate
Equity Purchase Obligations		Contingent Payment ObligationsAffiliate
Equity Purchase Obligations
Balance, beginning of period$40.3 $12.6 $21.0 $24.5 
Purchases and issuances(1)
— 48.5 — 71.0 
Settlements and reductions— (32.2)— (24.3)
Net realized and unrealized (gains) losses(2)
(26.1)(3.9)2.4 (2.8)
Balance, end of period$14.2 $25.0 $23.4 $68.4 
Net change in unrealized (gains) losses relating to instruments still held at the reporting date(1)
$(26.1)$(3.8)$2.4 $(2.1)
___________________________
(1)Affiliate equity purchase obligation activity includes transfers from Redeemable non-controlling interests.
(2)Gains and losses resulting from changes to expected payments are included in Other expenses (net) on the Consolidated Statements of Income and the accretion of these obligations is included in Interest expense on the Consolidated Statements of Income.
The following table presents certain quantitative information about the significant unobservable inputs used in valuing the Company’s level 3 fair value measurements:
 Quantitative Information About Level 3 Fair Value Measurements
December 31, 2022June 30, 2023
 Valuation
Techniques		Unobservable
Input		Fair ValueRange
Weighted Average(1)
Fair Value Range
Weighted Average(1)
Contingent payment obligationsMonte Carlo SimulationVolatility$21.0 
18% - 25%
18 %$23.4 
20% - 25%
20 %
 Discount rates 
6%
6 % 
5% - 7%
6 %
Affiliate equity purchase obligationsDiscounted cash flow
Growth rates(2)
$24.5 
(3)% - 6%
1 %$68.4 
(9)% - 6%
(2)%
 Discount rates 
14% - 17%
14 % 
12% - 17%
14 %
___________________________
(1)Calculated by comparing the relative fair value of an obligation to its respective total.
(2)Represents growth rates of asset- and performance-based fees.
Contingent payment obligations represent the fair value of the expected future settlement amounts related to the Company’s investments in its consolidated Affiliates. Changes to assumed volatility and discount rates change the fair value of contingent payment obligations. Increases to the volatility rates used would result in higher fair values, while increases to the discount rates used would result in lower fair values.
Affiliate equity purchase obligations include agreements to purchase Affiliate equity and represent the fair value of the expected future settlement amounts. Changes to assumed growth rates and discount rates change the fair value of the Affiliate equity purchase obligations. Increases to the assumed growth rates would result in higher fair values, while increases to the discount rates used would result in lower fair values.
Other Financial Assets and Liabilities Not Carried at Fair Value
The following table summarizes the Company’s other financial liabilities not carried at fair value:
 December 31, 2022June 30, 2023
Carrying ValueFair ValueCarrying ValueFair ValueFair Value Hierarchy
Senior notes$1,098.7 $1,024.6 $1,099.0 $1,019.9 Level 2
Junior subordinated notes765.9 552.3 765.9 594.6 Level 2
Junior convertible securities341.7 346.9 341.7 343.0 Level 2
The Company has other financial assets and liabilities that are not required to be carried at fair value, but are required to be disclosed at fair value. The carrying amount of Cash and cash equivalents, Receivables, Payables and accrued liabilities, and certain Other liabilities approximates fair value because of the short-term nature of these instruments. The carrying value of notes receivable, which is reported in Other assets, approximates fair value because interest rates and other terms are at market rates. The carrying value of the credit facilities (as defined in Note 7) approximates fair value because the credit facilities have variable interest based on selected short-term rates.