How the arrival time is worked out
The calculator turns the departure's local date and time into one exact moment using the time-zone database, adds the flight time, and shows that moment on the clock of the destination city. That makes it right across daylight saving changes and the date line, which simple “add the time difference” rules get wrong.
The day change is the arrival date minus the departure date: +1 means you land the next calendar day. Flying west across the Pacific can even land you on an earlier date than you left. Going the other way, you can reach the next but one day.