Sometimes, especially on multilingual sites, you need to allow users flexibility in the way they search for specific terms. For example, on a food recipe website, you might have a crêpe recipe.
When a user searches for "crepe", if the recipe that only has the word crêpe is not found, then this could be annoying to the end user (and it might lose you a site visitor!).
One way to improve this search experience is to enable the Transliteration module, and then enable the Search API homonymous processor on the search index. See this Drupal.org issue for more information.