We compare the empirical relationships between the mass of a galaxy ’ s globular system M _ { GCS } , the gas mass in the hot X-ray atmosphere M _ { X } within a fiducial radius of 5 r _ { e } , the total gravitational mass M _ { grav } within 5 r _ { e } , and lastly the total halo mass M _ { h } calibrated from weak lensing .
We use a sample of 45 early-type galaxies ( ETGs ) for which both GCS and X-ray data are available ; all the galaxies in our sample are relatively high-mass ones with M _ { h } > 10 ^ { 12 } M _ { \odot } .
We find that M _ { X } \propto M _ { h } ^ { 1.0 } , similar to the previously known scaling relation M _ { GCS } \propto M _ { h } ^ { 1.0 } .
Both components scale much more steeply than the more well known dependence of total stellar mass M _ { \star } \propto M _ { h } ^ { 0.3 } for luminous galaxies .
These results strengthen previous suggestions that feedback had little effect on formation of the globular cluster system .
The current data are also used to measure the relative mass fractions of baryonic matter and dark matter ( DM ) within 5 r _ { e } .
We find a strikingly uniform mean of \langle f _ { DM } \rangle = 0.83 with few outliers and an rms scatter of \pm 0.07 .
This result is in good agreement with two recent suites of hydrodynamic galaxy formation models .