What is also important about car audio is RMS (head unit and speakers). "RMS power rating is the measure of continuous power that an amplifier can output, or a speaker can handle." Matching the head unit, and or amp with the speakers is important. Advertised wattage for speakers or amps is generally their max handling. You may have a head unit that is rated at 50W/channel. This is the max output. Look at what your RMs is for the unit. Match the speakers to that and you will have a better sounding system. Lets say your speakers are 160W max but are 40W RMs, and your head unit is 50W/channel max but only 25W RMS, you will be under powering your speakers and not getting the peroformance they are capable of. In this scenario, you should get a amp to drive the system to match the RMS of the speakers.
It is also important, when matching an amp to your head unit, that the amp can accept and process the output voltage of the head unit through it's RCA jacks (within it's input range). When tuning the AMP for the speakers, turn the gain down on the amp to 25-30%. Then, turn the volume of the head unit to about half or a little more (general point at where THD starts). Then turn the amp up to just before the speakers start to distort. This will give you the cleanest sound and not overdrive the system into to much THD (total harmonic distortion).