Now we have to wonder: What will Blackstone buy next? -Deanna Ting. : After 11 years, the world’s largest private equity firms is checking out of one of the world’s largest hospitality companies in what will be known as, perhaps, the best private equity profit ever made on record. Blackstone Group announced on Friday it would sell its remaining 5.79 percent stake in Hilton Worldwide Holdings, in a sale worth an estimated $1.45 billion based on Hilton’s closing stock price on May 17. Hilton plans to repurchase 1.3 million of the total 15.8 million shares being sold by Blackstone.