Fair Value Measurements - Inputs and Valuations (Details) - Series A and B Preferred Warrants	Sep. 30, 2023 yr $ / shares
Private Placement Warrants Fair Value Per Share
Fair Value Measurement Inputs and Valuation Techniques [Line Items]
Warrants outstanding, measurement inputs	0.72
Stock price - DMS Inc. Class A Common Stock
Fair Value Measurement Inputs and Valuation Techniques [Line Items]
Warrants outstanding, measurement inputs	1.60
Remaining contractual term in years
Fair Value Measurement Inputs and Valuation Techniques [Line Items]
Warrants outstanding, measurement inputs | yr	4.50
Estimated volatility
Fair Value Measurement Inputs and Valuation Techniques [Line Items]
Warrants outstanding, measurement inputs	1.000
Dividend yield
Fair Value Measurement Inputs and Valuation Techniques [Line Items]
Warrants outstanding, measurement inputs	0.000
Risk free interest rate
Fair Value Measurement Inputs and Valuation Techniques [Line Items]
Warrants outstanding, measurement inputs	0.0460