A breaker size calculator picks the circuit breaker a load needs — applying the NEC's 125% rule for continuous loads — and tells you the minimum copper wire gauge that breaker must protect. It connects the three things that have to agree: the load, the breaker, and the wire.
The 125% rule trips people up: a breaker should carry no more than 80% of its rating continuously, so a 16 A continuous load needs a 20 A breaker, not a 15 A. This builds that in and matches the wire to the breaker.
Design current = load × 1.25 for continuous loads (else ×1.0). The breaker is the next standard size at or above the design current (15, 20, 25, 30 A…). Minimum wire is a simplified NEC copper pairing (15 A→14, 20 A→12, 30 A→10, 40 A→8…). The breaker must protect the conductor; derating, terminal ratings and load type can change the wire — follow the NEC.
A 16 A continuous load needs 16 × 1.25 = 20 A, so a 20 A breaker on 12 AWG copper.