Well there's a few ways you can go about it, there is value in having a few methods to locate repeaters.
You can set your radio to scan the band you're looking for repeaters on, when you hear someone talking stop take note of the frequency and refer to where it is in the band, then take that information combined with what commonly accepted and placed repeater shifts are and determine if you're listening to the input or the output, and then use a feature found in many radios to determine if there are any applicable PL/CCTS or DPL/DCS tones being used. Then set your radio appropriately and attempt to make a contact. While not the easiest or most preferred method, I think it is a highly valuable skill to have should you ever travel, or as sunspot and band activity creates band openings and you pick up repeaters for short amounts of time during an opening and want to share a long range contact. Also knowing how to find and monitor the input frequency will help let you know when you're in simplex range of other stations.
You can also look in the National databases and the repeater books, not always the most up to date they'll list the city and frequency callsign, tone and include a + or - shift which varies by band but 2m is traditionally 0.600mhz and 5Mhz on 70cm.
You'll probably find most benefit out of seeking out your local/area repeater coordination council; they'll usually publish a list of active repeaters with all the same information presented similar to other databases but I've found coordination councils to have the most up to date and freely accessible information. Here's a few coordination links you may find helpful
MetroCor - Metropolitan Coordination Association, Inc. Homepage and
Frequency Lists - NJ/NY - MetroCor and
144MHz.