This study is open to adults who are at least 18 years old and have

• a body mass index (BMI) of 30 kg/m² or more, or
• a BMI of 27 kg/m² or more and at least one health problem related to their weight.

People with type 2 diabetes cannot take part in this study. Only people who have previously not managed to lose weight by changing their diet can participate.

The purpose of this study is to find out whether a medicine called survodutide (BI 456906) helps people living with overweight or obesity to lose weight. Participants are divided into 3 groups by chance, like drawing names from a hat. 2 groups get different doses of survodutide and 1 group gets placebo. Placebo looks like survodutide but does not contain any medicine. Every participant has a 2 in 3 chance of getting survodutide. Participants inject survodutide or placebo under their skin once a week for about one and a half years. In addition to the study medicine, all participants receive counselling to make changes to their diet and to exercise regularly.

Participants are in the study for about 1 year and 7 months. During this time, it is planned that participants visit the study site up to 14 times and receive 6 phone calls by the site staff.

The doctors check participants' health and take note of any unwanted effects. The participants' body weight is regularly measured. The results are compared between the groups to see whether the treatment works.

Inclusion Criteria:

1. Male or female, age ≥18 years at the time of signing informed consent, and at least the legal age of consent in countries where it is >18 years

2. Body mass index (BMI) ≥30 kg/m^2 at screening, OR BMI ≥27 kg/m^2 with the presence of at least one of the obesity-related complications (treated or untreated) e.g,:

   • Hypertension (defined as repeated, i.e. at least 3 measurements in resting condition, systolic blood pressure (SBP) values of ≥140 millimetre of mercury (mmHg) and/or diastolic blood pressure (DBP) values of ≥90 mmHg in the absence of anti-hypertensive treatment, or intake of at least 1 anti-hypertensive drug to maintain a normotensive blood pressure)
   • Dyslipidaemia (defined as at least 1 lipid-lowering treatment required to maintain normal blood lipid levels, or low-density lipoprotein (LDL) cholesterol ≥160 mg/dL (≥4.1 mmol/L), or triglycerides ≥150 mg/dL (≥1.7 mmol/L), or high-density lipoprotein (HDL) cholesterol <40 mg/dL (<1.0 mmol/L) for men or HDL cholesterol 50 mg/dL (<1.3 mmol/L) for women)
   • Obstructive sleep apnoea
   • Others.

3. History of at least one self-reported unsuccessful dietary effort to lose body weight.

Further inclusion criteria apply.

Exclusion Criteria:

1. Body weight change (self-reported) of >5% within 3 months before screening.
2. Treatment with any medication for the indication obesity within 3 months before screening.
3. Glycosylated haemoglobin A1c (HbA1c) ≥6.5% (≥48 mmol/mol) as measured by the central laboratory at screening.
4. History of type 1 diabetes mellitus (T1DM) or type 2 diabetes mellitus (T2DM) or treatment with glucose lowering agent started within 3 months before the screening up to and including the randomisation visit.
5. Heart failure (HF) with New York Heart Association (NYHA) functional class IV.
6. Known clinically significant gastric emptying abnormality (e.g. severe diabetic gastroparesis or gastric outlet obstruction).
7. History of either chronic or acute pancreatitis or elevation of serum lipase or serum pancreatic amylase >2x upper limit of normal (ULN) as measured by the central laboratory at screening.
8. Personal or family history of medullary thyroid carcinoma (MTC) or multiple endocrine neoplasia syndrome type 2 (MEN 2).

Further exclusion criteria apply.

Once the criteria in section "Time Frame" are fulfilled, researchers can use the following link https://www.clinicalstudies.boehringer-ingelheim.com/msw/datasharing to request access to the clinical study documents regarding this study, and upon a signed "Document Sharing Agreement".

Furthermore, researchers can request access to the clinical study data, for this and other listed studies, after the submission of a research proposal and according to the terms outlined in the website.

After structured results have been posted, all regulatory activities are completed in the US and EU for the product and indication, and after the primary manuscript has been accepted for publication.

For study documents - upon signing of a 'Document Sharing Agreement'.For study data -1. after the submission and approval of the research proposal (checks will be performed by the sponsor and/or the independent review panel, including checking that the planned analysis does not compete with sponsor's publication plan); 2. and upon signing of a legal agreement.