A couple further things to consider:
I assume that you’re installing that large an inverter because you need the power. Pushing the full amperage through the inverter will generate a LOT of heat. Make sure the airflow is adequate; in other words, don't hide it.
Using a regular starting battery for that large an inverter will shorten the battery life (too deep a discharge), so a second battery (deep cycle with the associated charging circuits) is pretty much a given.
Full power usage of that inverter will discharge a 100 amp hour deep cycle battery to a 40% charge (the lowest state of charge that is routinely ok) in only about 30 minutes. The alternator can’t even come close to keeping up with that power need, and attempting to do so over a long period of time will heat it up and may shorten its life.
I use a Prosine 1800 watt inverter to power my entire cabin. So, unless you have some very short-term, high-power needs in your L.C., you may want to consider a smaller unit for use in a vehicle.