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Depreciation and Amortization - Schedule of Depreciation and Amortization (Details) - USD ($)
$ in Millions
 3 Months Ended 9 Months Ended
Sep. 30, 2024
Sep. 30, 2023
Sep. 30, 2024
Sep. 30, 2023
Amortization        
Total depreciation and amortization $ 59.9 $ 43.5 $ 165.5 $ 122.5
Depreciation        
Depreciation and amortization expense, Equipment Under Lease 14.1 9.3 39.0 24.7
Depreciation and amortization expense, Property Plant and Equipment 2.7 2.1 7.8 4.9
Total        
Depreciation and amortization expense [1] 51.6 40.0 143.1 111.2
Cost of sales 25.7 15.1 70.0 41.5
Total depreciation and amortization 77.3 55.1 213.1 152.7
Equipment Under Lease        
Depreciation        
Cost of sales 0.0 0.0 0.0 0.0
Total depreciation and amortization 14.1 9.3 39.0 24.7
Property, Plant and Equipment        
Depreciation        
Cost of sales 0.6 0.2 0.8 0.6
Total depreciation and amortization 3.3 2.3 8.6 5.5
Residual Commission Buyouts        
Amortization        
Depreciation and amortization expense 21.8 23.0 65.3 65.3
Cost of sales 0.0 0.0 0.0 0.0
Total depreciation and amortization 21.8 23.0 65.3 65.3
Other Intangible Assets        
Amortization        
Depreciation and amortization expense 13.0 5.6 31.0 16.3
Cost of sales 18.5 10.0 50.8 27.5
Total depreciation and amortization 31.5 15.6 81.8 43.8
Capitalized Customer Acquisition Costs        
Amortization        
Depreciation and amortization expense 0.0 0.0 0.0 0.0
Cost of sales 6.6 4.9 18.4 13.4
Total depreciation and amortization 6.6 4.9 18.4 13.4
Acquired Intangible Assets        
Amortization        
Total depreciation and amortization 43.5 32.1 120.3 91.8
Non-Acquired Intangible Assets        
Amortization        
Total depreciation and amortization $ 16.4 $ 11.4 $ 45.2 $ 30.7
[1] Depreciation and amortization expense includes depreciation of equipment under lease of $14.1 million and $39.0 million for the three and nine months ended September 30, 2024, respectively, and $9.3 million and $24.7 million for the three and nine months ended September 30, 2023, respectively.