You can work out how much energy you need for any AC mains device, just look at the power rating in Watts and calculate as follows.
For a fag-packet calculation you can ignore losses in the inverter, assume the nominal mains value is 230V and the batteries supply 12V.
Suppose you have a 1200W device, a toasty maker, and it takes 5 mins to make a toasted sandwich, then it will use 1200Wh per hour so you multiply this by the fraction of an hour the device will run, in this case 5mins/60mins, so you are running for 1/12 of an hour. This means to make a toasty in 5 mins you need 100Wh of energy 1200W x 1/12.
To work out how many Ah your 12v batteries will be drained by the toasty maker in 5 mins, divide the value in Wh (100Wh) by the battery voltage (12v)...
100Wh divided by 12v is 8,3Ah ....
To find out what percentage of your useable battery storage this is then for lead acid batteries first divide the total capacity by 2, because if you regularly take 12V lead acid batteries below 50% charge then it shortens their life considerably - the safe usable capacity is around 50% of the actual capacity. For Lithium batteries it is 100%. The huge advantage of lithium is more useable capacity, lighter weight, and more charge cycles - they also don't suffer if left partially charged.
So 150Ah of Lead Acid, typical for a VW Cali Ocean for example, has 75Ah of usable power, and the toasty maker uses 8,3Ah to make a toasty, 11% of usable power gone in 5 mins.
On a bright sunny day, a 100W solar panel will maybe deliver 75-80W in the UK. So to generate the 100W required for the toasty you are looking at around 1hr 20mins in bright sunshine at least.
The take away from this? ... Unless you are seriously off-gridding, prepared to invest in plenty of solar and lithium, happy to upgrade cables for the huge 12v currents drawn by big inverters, and you live in the van for days on end without moving it, then splash the cash and go all in with Lithium and Solar ....
.... If this is not you, then just buy a ridge monkey and make your toasties on the gas hob