In your comment to max's answer, you say that what you really wanted to get is the key in, and not the index of, the KeyValuePair that contains a certain value. You could edit your question to make it more clear.
It is worth pointing out (EricM has touched upon this in his answer) that a value might appear more than once in the dictionary, in which case one would have to think which key he would like to get: e.g. the first that comes up, the last, all of them?
If you are sure that each key has a unique value, you could have another dictionary, with the values from the first acting as keys and the previous keys acting as values. Otherwise, this second dictionary idea (suggested by Jon Skeet) will not work, as you would again have to think which of all the possible keys to use as value in the new dictionary.
If you were asking about the index, though, EricM's answer would be OK. Then you could get the KeyValuePair in question by using:
yourDictionary.ElementAt(theIndexYouFound);
provided that you do not add/remove things in yourDictionary
.
PS: I know it's been almost 7 years now, but what the heck. I thought it best to formulate my answer as addressing the OP, but of course by now one can say it is an answer for just about anyone else but the OP. Fully aware of that, thank you.