Kroger, the grocery giant that also owns supermarket chains Ralphs, Fry's and Harris Teeter, reported solid sales and earnings that topped forecasts.. What's even more impressive is that Kroger said digital sales soared by 66% compared to a year ago. That's a clear sign that moves Kroger is making to court younger tech-savvy shoppers are working. It also shows that Kroger is now a legitimate rival to Amazon and Walmart.