How this circuit works is that, the 12V DC is first stepped up to high voltage DC. It's converted to high voltage DC because a ferrite transformer can be used if it's driven at high frequency. However, the high frequency output can not be used to power mains devices. So, it's converted to DC and then this DC is converted back to 50Hz using a full-bridge converter stage employing 4 MOSFETs (or other similar "switches", eg IGBT or BJT).
The transformer has a primary winding (centre-tapped) and a secondary. The turns-ratio is proportional to the voltage ratio. So, if the voltage ratio required is 10:300 (10 for low voltage), the turn ratio be a little greater than 10:300. So, you can use a turns ratio of 10:320.
Now, decide how many turns you require for the primary. Consider 2 turns first. Then, calculate if the maximum flux density is acceptable. If not, increase to 3 turns and keep on increasing if required. So, if you use 3 turns (for example), and the turns ratio is 10:320 (which is equal to 3:96), you have to use 3 turns + 3 turns for the primary and 96 turns for the secondary.
You can use this formula to calculate flux density and/or use it to find the required number of turns:
You can find the information about the core area and maximum flux density (denoted Bmax) from the datasheet, or you can use a value, such as 2000G or 2500G or 3000G (these are common values of Bmax).
Hope this helps.
Tahmid.