Fetching details from the dictionary...

grateful; thankful; welcome; appreciated; evoking gratitude
お忙しい中ご協力いただき有り難いです。
I appreciate your cooperation despite your busy schedule.
このタイミングで届くとは有り難い話だ。
It is fortunate that it arrived at just the right time.
雨の日に傘を貸してもらえて有り難かった。
I was grateful to have been lent an umbrella on a rainy day.