Tampa,
Thanks for the additional information. Unfortunately, this still does not fit into any standard steel grade with which I am familiar. The problem is the Ni content. There are some case hardening steel grades that could be a good fit based on the C, Mn, Cr, and Si levels, but the Ni and Mo levels don't fit. Most of the standard case hardening steel grades used in North America, Europe, and Japan are alloyed with either Cr-Mn, Cr-Mn-Mo, or Cr-Mn-Mo-Ni. There are no Cr-Mn-Ni grades. Typical steels used for hypoid drive pinions include 8620 and 4320, with the following magazine article serving as a good reference on the subject:
If I were you, I would confirm with the lab that there is not a typo, etc. for any of the listed concentrations, specifically the Ni and Mo. I would also discuss with them the possibility that the Ni concentration is erroneous, possibly due to something not being calibrated or due to contamination (electroless nickel plating? Ni-modified phosphate surface layer?). Otherwise, just ignore the specifics of the composition, and choose a standard North American grade that can achieve the necessary performance characteristics (surface hardness, core hardness, heat treat processability, machinability, etc.).