Scrum of Scrums methodology was first implemented in 1996 by Jeff Sutherland and Ken Schwaber at IDX Systems (now GE Healthcare). Both Sutherland and Schwaber needed a way to coordinate eight business units with multiple product lines per business unit and synchronize individual teams with each other. They tried a new way to scale individual scrum teams to the enterprise level.
Each scrum within a sub-team ends by designating one member as “ambassador” to participate in a daily meeting with ambassadors from other teams, called the Scrum of Scrums.
The Scrum of Scrums proceeds as a normal daily meeting. Just like a scrum meeting, ambassadors report completion of tasks, next steps and impediments. Resolving impediments may require coordination between various scrum teams — This is the very objective of the Scrum of Scrums. The Scrum of Scrum will track these items via a backlog of its own, where each item contributes to improving coordination between teams.
As rightly mentioned by Atlassian,
Truth-be-told, there’s no right way to scale agile. But many organizations have had great success evolving their processes, teams, and cultures using frameworks for scaling agile.
There are various options like SAFe, Nexus, etc., that you consider too. Which framework would suit your needs would vary on the maturity level of the organization and the framework that fits your requirements the most. Refer the article, Agile for Large Teams, for an overview of some of these frameworks.