The phrase "cent majority" refers to a situation where a particular group or side gets the majority of votes or support from almost everyone. It means that almost everyone agrees or votes for the same thing or viewpoint. Full definition
That shareholder cap can only be changed if the company's constitution is changed which requires a 75 per cent majority of those voting. (afr.com)
His 8.6 per cent majority in the 2005 election places him 90th in the list of Tory target seats. (politics.co.uk)
An Advertiser survey has shown that while 38 per cent of respondents do not believe apologies are necessary, a 58 per cent majority supports apologising to the stolen children. (humanrights.gov.au)