on the balance of evidence

Từ điển Oxford Advanced Learner 8th

(on) the balance of ˈevidence/probaˈbility f15 idiom
(formal)(considering) the evidence on both sides of an argument, to find the most likely reason for or result of sth
• The balance of evidence suggests the Liberal party's decline began before the First World War.
Main entry: ↑balance_idiom