The MAJORANA DEMONSTRATOR consists of an array of 44 kg of high-purity Ge detectors (30 kg enriched to 88\% 76 ^{76} Ge) with a p-type point contact geometry. The DEMONSTRATOR's goals are to search for 0νββ 0\nu\beta\beta decay in 76 ^{76} Ge and to establish the required background and scalability for a next-generation tonne-scale experiment. With commissioning data and initial physics data, the DEMONSTRATOR has achieved an unprecedented energy resolution of 2.5 keV FWHM at the Q-value of 2039 keV and, with 10 kg-yr of enriched exposure, has recently published a limit of $T^{0\nu}{1/2}>1.9\times10^{25}yr(90%CL).Theanalysistechniquesemployedtoachievetheseresults(andusedfortheupcomingunblindeddatasetyieldingupto30kg−yrofexposure)willbepresented.Initsfinalconfiguration,theDEMONSTRATORhasestimatedabackgroundof yr (90\% CL). The analysis techniques employed to achieve these results (and used for the upcoming unblinded data set yielding up to 30 kg-yr of exposure) will be presented. In its final configuration, the DEMONSTRATOR has estimated a background of 4^{+3.1}{-2.5}$ c/FWHM/t/yr. Pulse shape based background suppression and details of the DEMONSTRATOR's backgrounds will also be discussed.