らちがあく/Rachi-ga-aku (Make good progress, settled)
If you say that something is rachi-ga-aku, you mean that it has made good progress or been settled. You can use this word in expressions like “Kuroshita-kedo-yatto-rachi-ga-aita (Although I had trouble, it has been finally settled)”.
Although there is another expression meaning the opposite, “rachi-ga-akan (it remains unsettled),” which is used more commonly, as examples of rachi-ga-aku, which has a favorable sense, entertainers’ succession to their predecessors’ names, happy retirement and the like are introduced here.