Can I see which customer segments use my discounts the most? (e.g., new vs. returning)

As an e-commerce manager, I'm struggling to understand the effectiveness of my discount strategies across different customer segments. I want to know which groups—new customers, returning customers, VIP members—are most responsive to discounts. This insight would help me tailor future promotions, allocate marketing budget more efficiently, and create more targeted campaigns that drive both acquisition and retention. How can I break down discount usage by customer segment and what metrics should I track to gain meaningful insights?