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Borrowings - Credit Agreement (Details)
1 Months Ended 12 Months Ended
Feb. 19, 2025
USD ($)
Jun. 21, 2024
USD ($)
Dec. 12, 2023
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Jan. 13, 2023
USD ($)
Jan. 31, 2022
USD ($)
swap
Dec. 31, 2023
USD ($)
swap
Dec. 31, 2025
USD ($)
Nov. 30, 2025
USD ($)
Sep. 23, 2025
USD ($)
Jan. 31, 2025
USD ($)
Dec. 31, 2024
USD ($)
Sep. 30, 2024
USD ($)
Jun. 30, 2024
USD ($)
Jan. 13, 2022
USD ($)
Debt Instrument [Line Items]                            
Commitment fee (as a percent)             0.50%              
Receivables from broker-dealers and clearing organizations             $ 1,896,405,000       $ 1,100,850,000      
Total principal of long-term borrowings             2,067,334,000       1,767,265,000      
Interest Rate Swap                            
Debt Instrument [Line Items]                            
Derivative contract term         5 years 2 years                
Derivative, notional amount         $ 525,000,000.0 $ 1,525,000,000             $ 1,075,000,000  
Fixed interest rate percentage (as a percent)                       4.50%    
January 2022 Interest Rate Swap                            
Debt Instrument [Line Items]                            
Derivative contract term         5 years                  
Derivative, notional amount         $ 1,000,000,000                  
Number of interest rate swaps | swap         2                  
Fixed interest rate percentage (as a percent)                   4.60%        
December 2023 Interest Rate Swap                            
Debt Instrument [Line Items]                            
Derivative contract term           2 years                
Derivative, notional amount           $ 1,525,000,000                
Number of interest rate swaps | swap           2                
Fixed interest rate percentage (as a percent)           7.50%                
Receivables from broker-dealers and clearing organizations           $ 55,800,000                
June 2024 Interest Rate Swap                            
Debt Instrument [Line Items]                            
Derivative, notional amount           1,525,000,000   $ 1,075,000,000            
Receivables from broker-dealers and clearing organizations           2,000,000.0                
Reclassification from AOCI to other income   $ 5,700,000                        
Committed facility                            
Debt Instrument [Line Items]                            
Total principal of long-term borrowings             $ 0       $ 0      
Committed facility | Scenario 1                            
Debt Instrument [Line Items]                            
Interest rate margin (as a percent)             1.00%              
Committed facility | Scenario 2                            
Debt Instrument [Line Items]                            
Interest rate margin (as a percent)             1.50%              
Committed facility | SOFR                            
Debt Instrument [Line Items]                            
Interest rate margin (as a percent)             2.50%              
Committed facility | SOFR | Scenario 2                            
Debt Instrument [Line Items]                            
Interest rate margin (as a percent)             0.00%              
Committed facility | VFH                            
Debt Instrument [Line Items]                            
Maximum borrowing capacity                           $ 250,000,000.0
Letter of credit | VFH                            
Debt Instrument [Line Items]                            
Maximum borrowing capacity                           20,000,000.0
Swingline subfacility | VFH                            
Debt Instrument [Line Items]                            
Maximum borrowing capacity                           20,000,000.0
Amended Credit Agreement | Overnight Bank Funding Rate                            
Debt Instrument [Line Items]                            
Interest rate margin (as a percent)             0.50%              
Amended Credit Agreement | SOFR                            
Debt Instrument [Line Items]                            
Interest rate margin (as a percent)             1.00%              
Senior Secured Second Lien Notes | Scenario 1                            
Debt Instrument [Line Items]                            
Commitment fee stepdown (as a percent)             0.375%              
Senior Secured Second Lien Notes | Scenario 2                            
Debt Instrument [Line Items]                            
Commitment fee stepdown (as a percent)             0.25%              
First Lien Term Loan                            
Debt Instrument [Line Items]                            
Debt amortization, percentage of original aggregate principal amount             1.00%              
Repayments of term loan     $ 55,000,000.0 $ 18,000,000.0                    
First Lien Term Loan Facility                            
Debt Instrument [Line Items]                            
Short-term debt             $ 0              
First Lien Term Loan                            
Debt Instrument [Line Items]                            
Face amount                           $ 1,800,000,000
First Lien Term Loan | First Lien Notes Due 2031                            
Debt Instrument [Line Items]                            
Face amount   500,000,000.0                        
Term Loan | Interest Rate Swap                            
Debt Instrument [Line Items]                            
Total principal of long-term borrowings             $ 1,545,000,000              
Term Loan | June 2024 Interest Rate Swap                            
Debt Instrument [Line Items]                            
Fixed interest rate percentage (as a percent)               7.17%            
Term Loan | Scenario 1                            
Debt Instrument [Line Items]                            
Interest rate margin (as a percent)             1.50%              
Term Loan | Scenario 2                            
Debt Instrument [Line Items]                            
Interest rate margin (as a percent)             2.00%              
Term Loan | SOFR                            
Debt Instrument [Line Items]                            
Interest rate margin (as a percent)             3.00%              
Term Loan | SOFR | Scenario 1                            
Debt Instrument [Line Items]                            
Interest rate margin (as a percent)             0.50%              
Term Loan | VFH | Interest Rate Swap                            
Debt Instrument [Line Items]                            
Face amount           $ 1,525,000,000   $ 1,075,000,000   $ 1,000,000,000   $ 525,000,000.0    
Fixed interest rate percentage (as a percent)               6.92%            
Line of credit | First Lien Notes Due 2031                            
Debt Instrument [Line Items]                            
Face amount   $ 1,245,000,000                        
Debt instrument, term   3 years                        
Line of credit | First Lien Notes Due 2031 | Minimum                            
Debt Instrument [Line Items]                            
Total principal of long-term borrowings   $ 250,000,000.0                        
Line of credit | First Lien Notes Due 2031 | Maximum                            
Debt Instrument [Line Items]                            
Total principal of long-term borrowings   $ 300,000,000.0                        
Line of credit | New Term Loans                            
Debt Instrument [Line Items]                            
Face amount $ 1,245,000,000               $ 1,545,000,000          
Total principal of long-term borrowings                 $ 300,000,000.0          
Line of credit | Component one | New Term Loans                            
Debt Instrument [Line Items]                            
Interest rate margin (as a percent) 1.50%                          
Line of credit | Component two | New Term Loans                            
Debt Instrument [Line Items]                            
Interest rate margin (as a percent) 2.50%                          
Line of credit | First Lien Term Loan | Component one | First Lien Notes Due 2031                            
Debt Instrument [Line Items]                            
Debt instrument, additional basis spread on variable rate (as a percent)   1.75%                        
Line of credit | First Lien Term Loan | Component one | New Term Loans                            
Debt Instrument [Line Items]                            
Interest rate margin (as a percent)   1.00%                        
Line of credit | Line of credit | New Term Loans                            
Debt Instrument [Line Items]                            
Interest rate margin (as a percent) 0.50% 0.50%                        
Percentage of periodic payment (as a percent) 1.00% 1.00%                        
Line of credit | Senior Secured Credit Facility | New Term Loans                            
Debt Instrument [Line Items]                            
Interest rate margin (as a percent) 1.00% 1.00%                        
Line of credit | Senior Secured Credit Facility | Component one | New Term Loans                            
Debt Instrument [Line Items]                            
Interest rate margin (as a percent) 1.00%                          
Line of credit | Secured debt | Component two | New Term Loans                            
Debt Instrument [Line Items]                            
Interest rate margin (as a percent) 0.00% 0.00%                        
Line of credit | Secured debt | SOFR | Component two | First Lien Notes Due 2031                            
Debt Instrument [Line Items]                            
Debt instrument, additional basis spread on variable rate (as a percent)   2.75%