On my set up I have a 100Amp circuit breaker (on right) between the battery & the power distribution board (on left) which houses half a dozen smaller circuit breakers for individual circuits. The 100amp circuit breaker provides protection to the power distribution board which has an overall max current capacity of 100amps. If you look closely at the CB's in the power distribution board you can see that they add up to a total of 120 amps if all switched on at the same time. They never are, but the 100amp CB provides the additional protection to prevent potential 'frying' of the distribution board's own wiring. The 100amp CB also acts as a convenient means of isolating the battery for distribution board maintenance or in an electrical emergency.
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Grant, what are you planning to run off that inverter?