There are two basic supply types in the US, single phase (120/240v) used in almost all single family applications, and three phase (120/208v) which is used in most commercial (and large multi-family) applications. In three phase your dryer uses two legs of the three phase.The power difference is negligible, if you have higher volts (and therefore watts) it will dry faster.
Your dryer is (UL) listed to work on either, Your dryer will use whatever volts are supplied by the service, minus a small amount of loss caused by the the length of wire. The max running amperage will be whatever is listed on the label for the voltage you have.
To calculate you need to recognize the 120v in the rating indicates the motor is 120v, so it draws about 4A more on one leg, the rating shown is full load amps on highest leg, so the average is about 2 amps less than nameplate. Volts x amps to get watts (which is what you are billed for):
Commercial: 208 x 22 = 4576 watts or 4.6 kw/h per hour
Residential 240 x 24 = 5760 watts or 5.7 kw/h per hour <- this is likely the number you need.
But like I mentioned before 240v will run hotter and therefore dry faster so it will run less, either way it will take the same energy to dry the clothes. Your actual voltage supply could be anywhere from 181 to 254 volts and still be within ANSI C84.1 spec.