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Acquisitions - Cotton Distributors Inc. Preliminary Purchase Price Allocation (Details) - USD ($)
$ in Millions
12 Months Ended
Oct. 31, 2022
Sep. 30, 2023
Sep. 30, 2022
Sep. 30, 2021
Business Acquisition [Line Items]        
Gain on acquisition   $ 23.5 $ 0.0 $ 3.3
Cotton Distributors Inc.        
Business Acquisition [Line Items]        
Cash and cash equivalents $ 8.2      
Deposits with and receivables from broker-dealers, clearing organizations, and counterparties 7.7      
Receivable from clients, net 51.9      
Financial instruments owned, at fair value 45.7      
Deferred income taxes, net (3.3)      
Property and equipment, net 0.1      
Physical commodities inventory, net 22.5      
Other assets 6.7      
Total fair value of tangible assets acquired 139.5      
Accounts payable and other accrued liabilities 40.0      
Financial instruments sold, not yet purchased, at fair value 28.3      
Payables to lenders under loans 10.1      
Payables to broker-dealers, clearing organizations, and counterparties 0.4      
Payables to clients 2.6      
Income taxes payable 0.8      
Total fair value of liabilities assumed 82.2      
Fair value of tangible net assets acquired 57.3      
Total fair value of intangible assets acquired 8.9      
Fair value of identifiable net assets acquired 66.2      
Total merger consideration 42.7      
Gain on acquisition 23.5      
Cotton Distributors Inc. | Client relationships        
Business Acquisition [Line Items]        
Total fair value of intangible assets acquired 4.7      
Cotton Distributors Inc. | Supplier relationships        
Business Acquisition [Line Items]        
Total fair value of intangible assets acquired 3.7      
Cotton Distributors Inc. | Trade name        
Business Acquisition [Line Items]        
Total fair value of intangible assets acquired 0.4      
Cotton Distributors Inc. | Non-compete        
Business Acquisition [Line Items]        
Total fair value of intangible assets acquired $ 0.1