Match account numbers to 2nd column (vlookup?)

I would like to match the account numbers from the "Old info" to the accounts in the "New info". Need formula in yellow area. If no account matches from New info to Old info.. then just leave blank.

The account wording is slightly different from Old and New. I don't know how to match them if the wording isn't exactly the same. Vlookup "approximate" match didn't work for me.