hello Denn,
SX700 requires 16V to run and consumes 21W of power. To meet that condition, power supply must be able to deliver (21W/16V=) 1.3A current. Keep in mind that that are average values that mostly depend on keyboard loudness.
Theoretically, if your battery has capacity of 1.3Ah, then you can play on keyboard for 1 hour. In case of 4Ah battery, that would be about (4/1.3=) 3 hours.
As said, that's theoretical, because it depends on losses (ambience temperature, battery quality, etc.). If you use 18V Li-ion battery (which is more common), then above running time should be close enough.
PS: I've just seen aba's post...
Yamaha power adapter is 16V DC. That is, battery must be connected directly into keyboard. And needless to say: pay attention on polarity!
Bogdan