The patient was prescribed medication for 30 days. They returned for a refill after 45 days. To calculate compliance:
Days Supply Provided = 30 days
Days Between Refills = 45 days
Compliance = (Days Between Refills / Days Supply Provided) x 100%
= (45 days / 30 days) x 100%
= 150%
So the percent compliance rate is 150% since they took the medication as prescribed and had medication left over when they returned for their refill.