The purposes of this study are to determine:

• The safety of LY3305677 and any side effects that might be associated with it.
• How much LY3305677 gets into the bloodstream and how long it takes the body to remove it in healthy participants, including those of Japanese origin.
• The effect LY3305677 has on the body, particularly the effect on blood glucose levels.

This study will last approximately 17 weeks not including screening. Screening is required within 4 weeks prior to start of the study.

This study is for research purposes only and is not intended to treat any medical conditions.

Inclusion Criteria:

• Are overtly healthy males or females, as determined by medical history and physical examination
• Women not of child-bearing potential due to surgical sterilization confirmed by medical history or menopause
• Are first-generation Japanese or non-Japanese. First-generation Japanese is defined as the participant, the participant's biological parents, and all of the participant's grandparents are of exclusive Japanese descent and have been born in Japan
• Have a body weight of more than 54 kilograms (kg)

Exclusion Criteria:

• Currently enrolled in a clinical study or have participated in a study within the past 3 months
• Have an abnormality in the 12-lead electrocardiogram (ECG) at screening
• Have history of pancreatitis
• Have known or ongoing psychiatric disorders
• Have undergone bariatric surgery or have used any drugs for weight loss
• Have a history of alcoholism
• Currently smoke more than 10 cigarettes a day