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Basis of Presentation and Recent Developments (Details)
£ in Millions, R$ in Millions, $ in Millions
3 Months Ended 6 Months Ended
Apr. 05, 2024
USD ($)
shares
Apr. 05, 2024
BRL (R$)
shares
Apr. 03, 2024
USD ($)
Apr. 03, 2024
GBP (£)
Mar. 01, 2024
USD ($)
shares
Mar. 01, 2024
GBP (£)
shares
Jan. 02, 2024
USD ($)
shares
Nov. 01, 2023
USD ($)
shares
Oct. 02, 2023
USD ($)
shares
Mar. 31, 2024
USD ($)
Sep. 30, 2023
USD ($)
Jun. 30, 2023
USD ($)
Jun. 30, 2023
Apr. 05, 2024
BRL (R$)
Apr. 03, 2024
GBP (£)
Mar. 01, 2024
GBP (£)
Business Acquisition [Line Items]                                
Income Tax Expense Adjustment                   $ 10.4 $ 5.3 $ 7.3        
Income Tax Expense Adjustment                   $ 10.4 $ 5.3 $ 7.3        
income tax expense                                
Business Acquisition [Line Items]                                
Immaterial Error Correction                         2.1 million      
Income tax receivable and payable                                
Business Acquisition [Line Items]                                
Immaterial Error Correction                     12.9 million          
Accumulated Other Comprehensive Income (Loss), Net of Tax                                
Business Acquisition [Line Items]                                
Immaterial Error Correction                         23.5 million      
Income tax payable                                
Business Acquisition [Line Items]                                
Immaterial Error Correction                         2.4 million      
Deferred tax asset                                
Business Acquisition [Line Items]                                
Immaterial Error Correction                         4.5 million      
Tax receivable agreement                                
Business Acquisition [Line Items]                                
Immaterial Error Correction                   2.1 million            
Left Field Labs                                
Business Acquisition [Line Items]                                
Aggregate purchase price                 $ 13.2              
Payments to Acquire Businesses, Gross                 $ 9.4              
Shares issued by the Company (shares) | shares                 825,402              
Deferred acquisition consideration                 $ 51.0              
Business Acquisition, Equity Interest Issued or Issuable, Value Assigned                 $ 3.8              
Movers and Shakers LLC                                
Business Acquisition [Line Items]                                
Aggregate purchase price               $ 14.7                
Payments to Acquire Businesses, Gross               10.2                
Deferred acquisition consideration               35.0                
Business Acquisition, Equity Interest Issued or Issuable, Value Assigned               $ 4.5                
Movers and Shakers LLC | Common Class A                                
Business Acquisition [Line Items]                                
Shares issued by the Company (shares) | shares               1,000,000                
Team Epiphany                                
Business Acquisition [Line Items]                                
Aggregate purchase price             $ 15.8                  
Payments to Acquire Businesses, Gross             $ 10.8                  
Shares issued by the Company (shares) | shares             797,916                  
Deferred acquisition consideration             $ 17.0                  
Business Acquisition, Equity Interest Issued or Issuable, Value Assigned             $ 5.0                  
Sidekick Live Limited                                
Business Acquisition [Line Items]                                
Aggregate purchase price         $ 6.0 £ 4.6                    
Payments to Acquire Businesses, Gross         $ 5.0 £ 3.6                    
Shares issued by the Company (shares) | shares         195,431 195,431                    
Deferred acquisition consideration         $ 10.0                     £ 8.0
Business Acquisition, Equity Interest Issued or Issuable, Value Assigned         $ 1.0                     £ 0.9
What's Next Partners | Subsequent event                                
Business Acquisition [Line Items]                                
Aggregate purchase price     $ 5.0 £ 4.3                        
Deferred acquisition consideration     $ 9.0                       £ 8.5  
PROS Agency | Subsequent event                                
Business Acquisition [Line Items]                                
Aggregate purchase price $ 5.0 R$ 26.5                            
Payments to Acquire Businesses, Gross 4.0 R$ 21.2                            
Deferred acquisition consideration 14.0                         R$ 72.5    
Business Acquisition, Equity Interest Issued or Issuable, Value Assigned $ 1.0                         R$ 5.3    
PROS Agency | Common Class A | Subsequent event                                
Business Acquisition [Line Items]                                
Shares issued by the Company (shares) | shares 182,256 182,256