Why interviewers ask this question
This question is especially common for roles that require cross-team collaboration or early leadership potential, since so much real workplace influence happens without any formal authority over the people involved. Interviewers want to see that you can build credibility, use reasoning and relationship rather than position, and get genuine buy-in from people who have no obligation to listen to you.
How to structure your answer using STAR
Choose a real example involving a peer, a different team, or someone senior to you, where you had no formal authority to direct their actions. Briefly explain the situation and what you needed from them, then focus on the action: how you built credibility (through expertise, data, or relationship), framed the ask in terms of their interests as well as yours, and followed up appropriately. Close with a clear result showing the other person or team genuinely changed their approach or decision.
A strong example answer
"I noticed our product and support teams were using inconsistent language when describing a feature to customers, causing confusion, but I had no authority over the support team's process. I put together a short, data-backed summary showing the specific support tickets this confusion had caused, and framed my proposal for shared terminology around reducing their ticket volume, not just making things easier for my own team. The support lead adopted the shared glossary within their next team meeting, and related tickets dropped noticeably over the following month."
Mistakes to avoid
Avoid a story where you actually did have some formal authority over the person, since this weakens the specific skill being tested. Avoid framing the story purely around your own team's interests; the strongest answers show you understood and addressed what mattered to the other person or team, not just what you wanted from them.