The endohedral nature of the metallofullerene Y@C82 is described based on recent results of the X-ray structural study for the metallofullerene Y@C82 by the synchrotron powder diffraction experiment. For the structural analysis, the novel method which is the combination of the Rietveld analysis and the Maximum Entropy Method (MEM) is employed to analyse the complicated powder pattern. The obtained MEM charge density reveals that the yttrium atom is trapped within the carbon cage and reside very close to the fullerene cage indicating the strong off-centered nature of the Y@C82 molecule.