1
general::
Also, according to all accounts. From all reports available, from what everyone is saying. For example, By all accounts the party was a great success, or They spent a fortune on their cruise, according to all accounts. These phrases rely on account in the sense of "a particular report or description of some event." [Late 1700s]
American Heritage Idioms
2
general::
Phrase(s): by all accounts
Go to according to all accounts.
McGrawhill's American Idioms And Phrasal Verbs