The decibel scale is by definition a relative measurement between a reference level an whatever is being measured. In terms of power it is defined as P_dB = 10*log(P/P_ref). In terms of pressure it is defined as spl = 20*log(p/p_ref).
This is confusing because sound intensity is often measured in dB and treated as an absolute scale. (I.e. threshold of pain = 130dB, normal conversation = 60dB etc, etc.) This can only make sense if everyone has agreed on a reference level, and indeed they have. The threshold of human hearing is defined as the 0 point of this scale such that 0dB = 0.00002 Pa or 10^-12 W/m^2.
Decibels are also used to define the voltage gain of an amplifier stage where gain(dB) = 20*log(V_out/V_in).
The nice thing about this convention is that if you reduce the gain by, say, 3dB, you also reduce the sound pressure level by 3dB. From an engineer's perspective it makes perfect sense to specify the volume (gain) control in terms of dB. For everyone else it is confusing as hell.