In this letter we report the discovery of CO fluxes , suggesting very high gas fractions in three disk galaxies seen in the nearby Universe ( z \sim 0.1 ) . These galaxies were investigated as part of the DYnamics of Newly-Assembled Massive Objects ( DYNAMO ) survey . High-resolution Hubble Space Telescope imaging of these objects reveals the presence of large star forming clumps in the bodies of the galaxies , while spatially resolved spectroscopy of redshifted H \alpha reveals the presence of high dispersion rotating disks . The internal dynamical state of these galaxies resembles that of disk systems seen at much higher redshifts ( 1 < z < 3 ) . Using CO ( 1-0 ) observations made with the Plateau de Bure Interferometer , we find gas fractions of 20-30 % and depletion times of t _ { dep } \sim 0.5 Gyr ( assuming a Milky Way-like \alpha _ { CO } ) . These properties are unlike those expected for low-redshift galaxies of comparable specific star formation rate , but they are normal for their high-z counterparts . DYNAMO galaxies break the degeneracy between gas fraction and redshift , and we show that the depletion time per specific star formation rate for galaxies is closely tied to gas fraction , independent of redshift . We also show that the gas dynamics of two of our local targets corresponds to those expected from unstable disks , again resembling the dynamics of high- z disks . These results provide evidence that DYNAMO galaxies are local analogues to the clumpy , turbulent disks , which are often found at high redshift .