τ_dep (first column), f_gas (second column), and T_dust (third column) as a function of ΔMS (first row) and stellar mass (third row). Scaling relations for τ_dep(z, M_*, ΔMS) and f_gas(z, M_*, ΔMS) from Tacconi et al. (2018) and for T_dust(z, ΔMS) from Schreiber et al. (2018) are shown as a solid blue line with their scatter as a shaded blue area. The 1σ scatter of the MS (0.5 < ΔMS < 2, ∼0.3 dex) is also shown as a shaded blue area, with a more extended typical scatter of 0.33 < ΔMS < 3 (∼0.5 dex) in lighter blue (second row). We note that the values are scaled to a common redshift and stellar mass (first row) and to a common redshift and ΔMS (third row) (z_med = 2.46, log(M_*med/M_⊙) = 10.79, and ΔMS_med = 2.15) as explained in the main text. Second and fourth rows: distance of a given property to its scaling relation, defined as the ratio of the property X to the property X in the scaling relation at a fixed redshift, stellar mass and ΔMS (ΔX = (X/X_scl), where X = τ_dep, f_gas, and T_dust). Only galaxies with a Herschel counterpart are displayed. The shaded gray area shows the region where we are no longer ∼100% complete (see main text). In all panels, SBs in the MS are in red: galaxies with τ_dep below the scatter of the scaling relation and in the MS within a factor 3. Galaxies identified as AGN are highlighted with diamonds.