Top: change in the mass fractions of disk, warm, bulge, and hot inner stellar halo vs. M_{*, sat}/M_{*,+1 Gyr} for all the merger pairs. The colors of the top panels represent ⟨θ_{r, v}⟩. The circle, plus, and star symbols denote mass ratios of 1/2–2, 1/3–1/2, and 1/5–1/3, respectively. The gray dashed lines indicate no change in mass fractions. Bottom: mass fraction of different components in galaxies at z=0 vs. the total ex situ stellar mass fraction of the galaxy. The gray dashed lines represent a 1: 1 relationship. Since each galaxy may have experienced multiple mergers, we illustrate the change in f_halo after each merger with four galaxies, colored by blue, green, orange, and red. The adding-up of multiple mergers results in a good correlation between f_{halo, z=0} and the total ex situ stellar mass.