perceived time= earth time / sqrt(1-(v²/c²))
So at 99% the speed of light it's about a seventh.
Electromagnetic propulsion systems use magnetic systems to eject an ion beam out of the back. These ions are of very low mass but can eject at very high speeds over a significantly long period of time.
This means they will accelerate at very low g forces but over a very long period of time quite high velocities can be reached.
This makes them very unsuitable for manned space flight but potentially quite good for space probes.
So far one has made it to the moon.
NASA is working on a new one
http://en.wikipedia.org/wiki/HiPEP
Note that this can produce 670mN of thrust ( that's about the equivilent of a 67g weight ) so its a very small thrust but it only uses 5.6mg of fuel a second
Brainerd's is a little different (http://www.reiszengineers.com/togobeyond.pdf
)
but the key figure is the thrust about 70mN in a Saturn V rocket the Thrust was about 33MN thats Mega as opposed to milli Newtons or nearly half a billion times as much.
If we assume that your spacecraft is a petite thousand tonnes (and that's probably several orders of magnetude too light) you'll accelerate at 0.00000007m/s and reach a relativistic 0.9c in about 120 million years