They just happened to coincide with his own best interests.
The date, June 4, happens to coincide with state primary elections.
If that happens to coincide with something that's good for them, so be it.
His adventurism probably just happened to coincide with the American public's need for something completely different.
A more recent visit happened to coincide with a trip to the country by the England football team.
"The peak happened to coincide with the worst financial results ever," he said.
I think that the two things happened to coincide in our case.
A visit I made there several years ago happened to coincide with a mayoral election.
The visit also happened to coincide with her husband's birthday, and she had no present to give him.
At the moment, my interests and yours happen to coincide, that's all.