How do you figure out what your organization is really about?  It's one thing to know it intutitively.  It's another to be able to share it or have meaningful dialogue.  Here's the tests I use lately to know what a team or org is really about:

Tests for Organizational Clarity

• Vision / Mission: What's the one-liner vision and mission?
• Customers:  Who's the customer?
• Problems: What domains or problems does it focus on?
• Business Case; What's the internal and external business case?
• Measures of Success; What's the measures of success?
• Catalog / Product Line: What's the product line / deliverables / results?
• Rhythm of Results: What's the product cycle or rhythm of results?

If you know these, it tells you a lot. 

Why This Cuts to the Chase
Here's a quick rundown on how you can use this:

• Mission is who you are and vision is where you want to go. An important attribute in the mission, is some unique value or differentiator. If everybody knows the vision and mission, they can run to the same finish line.   For me, I like one-liner visions and missions that you can spit out in the hall without a cue card.
• In a large shop like Microsoft, knowing your customers makes a big difference.  For me, while I server a lot of customers, my main focus is developers.  While it's partly a chicken and egg deal, knowing your customers helps you clarify which domains or problems you tackle.  When in doubt, ask your customers!
• Owning important problems is key.  I think you can measure the value of an org, by measuring the value of the problems it solves.
• Business cases are powerful because they justify existence and investment.  I think looking through two lenses helps -- what do your customers see as the business case? (why you versus some other group or service or product) ... and what does your company see as the business case? (what's the unique value to keep this group around and invest in it)  One important piece of a business case is knowing how big is the pie and what's your slice.
• Measuring success is important.  Everybody wants to do a good job and know what it is.  Knowing what gets measured tells you what's valued.
• Knowing the deliverables in the form of a catalog or product line tells a lot about an org or team.  I like to think in terms of portfolios of results.  When I talk to teams about what they do, finding out what they deliver really cuts to the chase.
• The rhythm of results is important.  This tells you a lot about the cadence, work styles, value of time, ... etc.

There's obviously a lot more you can know about an org or team, but I'm finding these are keys to cut to the chase.