It's like going from a 4200rpm hard drive in your laptop to a 7200rpm drive. You don't have to be moving around or processing large files to see the difference. Things are just snappier.
Good analogy, but I want to emphasize that the magnitude 4200RPM->7200RPM is around a factor of 2. The magnitude difference (in terms of access time of course) from HDD to SSD is around a factor of 1000.