The phrase "a large majority over" is not correct in standard written English.
It is typically used to indicate a significant lead or advantage in a comparison or competition.
Example: "The candidate won the election with a large majority over her opponent."
Alternatives: "a significant majority over" or "a considerable lead over".
In voting on the Bolkestein directive in 2006, the Parliament voted by a large majority for over 400 amendments that changed the fundamental principle of the law.
But on a grander scale – the one involving millions, sometimes billions, of user accounts, it's obvious that a large majority of people got over their Gmail privacy concerns – and their Facebook concerns, for that matter.
Although it has been suggested that children with ADHD are over-treated, a large majority of children with ADHD in this survey (62%) were not currently receiving medication.
Preliminary exit poll results show that a large majority of voters today were over 45 years old, while less than 3 in 10 were under 44.
But retirements and the loss of teaching staff, plus increasing teaching and administrative loads have made several of these programmes unviable: one that has closed recently lost a large majority of its teaching staff over the last decade.
The Fed is required by law to hand over a large majority of its profits, a long-standing provision that has become a lot more lucrative in recent years.
A large majority of Iranian lawmakers, angered over the Obama administration's new nuclear weapons policy that conspicuously makes Iran and North Korea possible targets, urged their government on Sunday to formally complain to the United Nations in a petition that called the United States a warmonger and threat to world peace.
A large majority of Millennials prefers Obama over Clinton.
The Charter change was made effective in 2001, at which time a large majority of Council seats turned over.
By the time the second and final deadline for submission had passed, hundreds of letters were submitted by Iranians, with a large majority of the letters being over the 500-word limit and having a personalized photograph attached.
