  We have found that the conformally coupled induced gravity can be an infrared
fixed point of induced gravity with Yukawa couplings with matter. The late time
cosmology with a uniform mean matter distribution can be described by the
conformally coupled induced gravity, which has an emergent global conformal
symmetry in the cosmic scale. Aiming to resolve the puzzles for the dark
energy, we have obtained exact cosmological equations and determined the dark
energy density, the matter density, and the jerk parameter in the present
universe based on the recent observational cosmic expansion data for $a/H^{2}$.
