Share-Based Compensation Plans - Summary of Status of Company's Nonvested Shares of Employee Performance Shares (Parenthetical) (Details)	12 Months Ended
Feb. 01, 2025
Share-Based Payment Arrangement [Abstract]
Target achievement percentage of relative performance goal.	100.00%

Target achievement percentage of relative performance goal.

No definition available.

Name:	gco_TargetAchievementPercentageOfRelativePerformanceGoal
Namespace Prefix:	gco_
Data Type:	dtr-types:percentItemType
Balance Type:	na
Period Type:	duration