v3.25.1
SHARE-BASED PAYMENT - Summary of Weighted Average Fair Value of Programs Granted and Principal Assumptions used in Applying Black-Scholes Model (Detail) - R$ / shares
12 Months Ended
Dec. 31, 2024
Dec. 31, 2023
Cosan S.A. Industria e Comercio [member]    
Disclosure of terms and conditions of share-based payment arrangement [line items]    
Market price on the grant date R$ 13.54 R$ 16.82
Compass Gas e Energia [Member]    
Disclosure of terms and conditions of share-based payment arrangement [line items]    
Market price on the grant date 45.29 42.21
Rumo S.A. [member]    
Disclosure of terms and conditions of share-based payment arrangement [line items]    
Market price on the grant date [1] R$ 23.37 R$ 21.87
Interest rate [1] 10.41% 10.41%
Volatility [1] 25.84% 25.84%
Moove [member]    
Disclosure of terms and conditions of share-based payment arrangement [line items]    
Market price on the grant date [2] R$ 66.97 R$ 105.98
Interest rate [2] 4.05% 4.05%
Volatility [2] 42.85% 42.85%
[1] Volatility was determined based on the historical volatility of the share price in the last thirty days prior to the grant date.
[2] Volatility was determined based on the historical volatility of the parent company's share price, since Moove is not yet publicly traded, taking as a measure the period proportional to the term of the plan.