We report measurements of transverse momentum pt spectra for ten event multiplicity classes of p-p collisions at s=200GeV. By analyzing the multiplicity dependence we find that the spectrum shape can be decomposed into a part with amplitude proportional to multiplicity and described by a Lévy distribution on transverse mass mt, and a part with amplitude proportional to multiplicity squared and described by a Gaussian distribution on transverse rapidity yt. The functional forms of the two parts are nearly independent of event multiplicity. The ...