The phrase "a more complete account" is correct and usable in written English.
It can be used when discussing a detailed or thorough explanation of a subject or event.
Example: "In order to understand the situation better, I would appreciate a more complete account of what happened during the meeting."
Alternatives: "a fuller explanation" or "a more detailed report".
Indeed, had his book been a more complete account, 'geology' might have been a stillborn term.
Without a more complete account of how drag kings were perceived socially and sexually, these women remain curiously impersonal figures at the center of the book.
The effect is to unveil much of the mystery behind Santa Claus by presenting a more complete account of his life, mission, and home.
A more complete account can be given for the mechanics of development of the root apex than for that of the stem, mainly because of its greater simplicity.
Second, he argued that fellow lawyers in Mr. Starr's office had omitted some changes he had proposed in the declaration, which would have provided a more complete account of his dealings with Mr. Van Natta.
(For a more complete account of Dogme's beginnings, see Jesper Jargil's documentaries "The Humiliated" and "The Purified," which, showing next Sunday, will conclude a monthlong von Trier retrospective at the American Museum of the Moving Image in Queens).
A more complete accounting suggests that is on the low side.
The public is still owed a more complete accounting of the sources and amounts of Mr. Clinton's speaking fees and business income.
We explain that existing estimates systematically underestimate the likely economic impact of climate change, and we provide rough estimates of what a more complete accounting would reveal.
Mr D'Souza notes simply that he grew up in Mumbai, but a more complete accounting is that his parents were members of the Christian community in the state of Goa, which was colonised by Portugal.
