Earnings Per Common Share - Schedule of Basic and Diluted Income Per Common Share (Details) - USD ($) $ / shares in Units, $ in Thousands	3 Months Ended
	Mar. 31, 2026	Mar. 31, 2025
Basic income per share:
Net income attributable to Central Bancompany, Inc.	$ 111,088	$ 94,798
Less: Dividends declared on forfeitable nonvested restricted stock	72	27
Net income allocated to common stock	$ 111,016	$ 94,771
Weighted average common shares outstanding - basic (in shares)	240,315,000	219,947,000
Basic income per common share - basic (in dollars per share)	$ 0.46	$ 0.43
Earnings Per Share, Diluted [Abstract]
Net income attributable to Central Bancompany, Inc.	$ 111,088	$ 94,798
Less: Dividends declared on forfeitable nonvested restricted stock	72	27
Net income allocated to common stock	$ 111,016	$ 94,771
Weighted average common shares outstanding - diluted (in shares)	240,637,000	219,947,000
Diluted income per common share - basic (in dollars per share)	$ 0.46	$ 0.43