Ratio of Y₅₀₀ measured from A10 fits to Bolocam using a Chandra prior on ﹩{\theta }_{{\rm{s}}}﹩ and Y₅₀₀ measured from the Planck MMF3 algorithm using the A10 model with an XMM-like prior on ﹩{\theta }_{{\rm{s}}}﹩. The Chandra value of ﹩{\theta }_{{\rm{s}}}﹩ is larger by an average fraction of 1.16, resulting in systematically larger values of Y₅₀₀ measured by Bolocam. The Y₅₀₀ ratio is shown as a function of M₅₀₀, with the 68% confidence interval of linear fits from LINMIX_ERR overlaid in orange. This linear fit provides a mapping from the Bolocam measurements of Y₅₀₀ to the Planck measurements of Y₅₀₀, allowing for a test of the Planck completeness using the Bolocam data.