BOSTON ( TheStreet) -- Dunkin' Brands ( DNKN), owner of the doughnut-and-coffee chain as well as ice-cream purveyor Baskin-Robbins, is set to go public. Millions of people in the Northeast can't get enough of Dunkin' Donuts coffee. So, how will its stock fare?First, the basics: The company, co-owned by private equity investors Bain Capital, Carlyle Group and Thomas Lee, is seeking to sell more than 22 million common shares between $16 and $18 a share for net proceeds of up to $400 million. Dunkin' amended its S-1, an initial public offering request form to the Securities and Exchange Commission, today. In it, Dunkin' indicated that it would have 126 million total common shares, after the share sale.