Americans in recent years couldn’t get enough of Greek yogurt and that’s largely because what they were buying wasn’t really Greek yogurt, but Greek-style or just had the label Greek slapped on it.

It’s easy to be confused in supermarkets and Greek yogurt makers largely ceded the market in the United States to Chobani – with a Kurdish owner from Turkey – who ran away with it for years.

The site Tasting Table said buyer beware. “You might spot ‘Greek’ yogurt lining the shelves of dairy products at your local grocery store, but the yogurt you’re buying may not actually be as Greek as you think,” it cautioned.

The Greek company Fage was the first to label their yogurt Greek, the site said of the few Greek companies selling in the United States, including Olympiana, which uses the true straining method with a fine mesh cloth to make it genuinely thick, naturally.

Read the ingredients, even on brand names like Cabot and Yoplait because in many cases you’ll find thickeners and additives and companies short cutting the multi-straining process required to make real Greek yogurt, said Eat This, Not That.