A good question and I'm not sure the answer is so obvious, though there is probably good scholarly research on the topic.
Socrates was written about by Plato, Xenophon, and Aristophanes and, of course, tried and condemned on the basis of his supposedly impious "influence" on the noble youth of Athens. So there was clearly local and contemporary influence. But he did not write or travel, so he was probably not as well known at the time as figures like Parmenides or Protagoras or, say, Anaxagoras, who was an influential companion of Pericles.
Plato, of course, wrote many works and travelled and founded a school. Though we can't count printed citations from antiquity, it is fair to say that the survival of copies of so many of his works (unlike those of the great dramatists, say)testifies to a large and widespread contemporary influence. But "influence" is hard to measure and it is hard to escape the long shadow of Plato's enormous retrospective influence and later adoption within Christianity.
But it is interesting to consider, I don't recall reading anything specific about Plato's contemporary fame or impact on affairs of state or reputation vis a vis contemporary philosophers, so many of whom are in fact preserved in his writings. But I would guess his founding of the Academy alone would rank him among the most influential men of his age and a prolific source of ideas and learning for centuries after.