This is a strange claim from a company whose former CEO infamously explored the idea of selling off its PC business. And frankly, given the steady decline in PC sales, and the simultaneous acceleration of tablet sales, being the top dog in a dwindling market carries a dubious distinction. HP considered getting rid of its PC business, and that makes its PC market cheerleading ring hollow. In the future HP's success will depend on its tablet strategy. The PC market saw close to a 5 percent decline in the most recent quarter, with Apple shipping almost as many iPads (14 million) as HP shipped PCs (14.6 million).