A polite expression used to give advice or a recommendation — equivalent to 'it would be better to...' but more formal and courteous.
悪寒があるなら、今日は休んだ方がよろしいですよ。
If you have chills, you'd better rest today.
その件は上司に相談した方がよろしいと思います。
I think it's advisable to consult your supervisor about that matter.
重要な書類ですから、もう一度確認した方がよろしいでしょう。
Because it's an important document, it would be better to check it once more.