f_gas − M₅₀₀ relation. The filled circles represent a compilation of literature data, color coded as a function of the sample reference as shown in the picture. The black points connected by a solid line represent the Magneticum prediction. The squares indicate the f_gas derived from the stacked X-ray surface brightness profiles. This is obtained by integrating the best-fit electron density model of Fig. 13. The dashed yellow and green curves represent the best-fit of Pratt et al. (2009) and Eckert et al. (2016), respectively. The dashed line indicates the value of the cosmic baryon fraction according to the WMAP cosmology implemented in Magneticum.