I think this song is about a couple that feel they are not perfect for eachother. Because they feel they are not perfect for eachother, they break up and go to find their "soul mate," not realizing that they were eachothers' soulmates, even though they did not fit together perfectly. So they end up with nobody instead of eachother, since they cannot find a person that fits them perfectly. Whether or not they get back together is hard to tell. the last two lines of the first stanza seems to indicate they do, though.
I think this song is about a couple that feel they are not perfect for eachother. Because they feel they are not perfect for eachother, they break up and go to find their "soul mate," not realizing that they were eachothers' soulmates, even though they did not fit together perfectly. So they end up with nobody instead of eachother, since they cannot find a person that fits them perfectly. Whether or not they get back together is hard to tell. the last two lines of the first stanza seems to indicate they do, though.