Just to put some numbers on it, our MW (wants 1550w input on shore power or PSW) only wants about 1100w on MSW so it draws 110amps when it is on.
We might use it ten minutes a day if that.
Ok so how many AH is ten minutes of 110 amps? 18AH. To me 18AH in a day is so trivial. If it is a big deal in your set-up then you can solve that in the obvious ways.
Almot's figures seem too pessimistic to me but it all depends on weather and your latitude and time of year and then whether the panels are flat, tilted, or tracking what AH you get a day.
I am fine with about 260w tilted (140AH a day) from mid-April to end September here on the Island at 49.3N for a 458AH battery bank. Rest of the year the (it is portable) solar stays in the garage at home when we go camping since it is not worth taking the solar and don't need it anyway for weekend type camping.
I agree you have to find out how much solar you need by trial and error. You can take a guess and go with that first. Any amount of solar will always be too much or too little depending on time of year. If you have enough for winter that will be too much for the summer. You can't fine tune it.