He gave me a detailed account of the meeting.

A summary is a brief statement or account of the main points of something. It is usually shorter than a report, and it does not include as much detail.

An explanation is a statement that makes something clear or understandable. It can be written or spoken, and it usually includes information about the reasons for something or how something works.

A precis is a brief summary of a longer piece of writing. It is usually written in the author’s own words, and it includes the main points of the original text.

In the given question, the speaker is asking for a detailed account of the meeting. This means that they want to know everything that happened at the meeting, including who was there, what was discussed, and what decisions were made. A report is the best type of document to provide this information.