You might want to…
What it really means
Sounds like a gentle optional suggestion, but from a boss, teacher or official it often means "you should do this" or even "do this now". The softer the wording, the more seriously you may need to take it.
Context, tips & common mistakes
"You might want to check the figures" is not musing about your possible desires — it is an instruction, and often a warning that something is already wrong. British workplace hierarchy speaks in options: 'you may wish to', 'it might be worth', 'perhaps take another look at' are all imperatives wearing a cardigan, and from a manager they mean do it today.
The decoding rule: the softer the phrasing from someone senior, the more attention it deserves — genuine suggestions come with 'no pressure' signals, while 'you might want to look at the deadline clause' means the deadline clause is a problem. Newcomers who take these literally ('I considered it and decided not to') are heard as insubordinate without ever knowing a command was issued. When you need to instruct politely upwards or sideways, the same costume works for you.