The phrase "global phenomenon" refers to something that occurs or is present all around the world. It means that this thing is happening or exists on a large scale, affecting people or things in various countries. Full definition
But our move online has also resulted in the serious and growing global phenomenon of internet addiction. (psychlopaedia.org)
Some describe the decline as a complex global phenomenon with numerous causes. (ncregister.com)
Though this trend shows signs of fading, it will take decades before such «acceptance» of other races, religions and sexual orientation becomes a truly global phenomenon. (arsenalindiasupporters.com)