The phrase "widespread agreement" means that a lot of people or a large number of groups or individuals have come to the same conclusion or have reached a consensus on a certain matter. Full definition
However, without widespread agreement on the necessary skills and knowledge required for core classes, proving mastery may be just as elusive and arbitrary as the current system. (edutopia.org)
I think there is widespread agreement with this assessment of the situation, but inevitably there will be people who do not agree. (rba.gov.au)
Addressing population — how many feet are leaving their tracks — remains controversial despite widespread agreement that greater numbers place more strain on the planet. (drawdown.org)