If I had to sum of the core thing using SharePoint will get your staff I would do so in a true story that happened to me.
About 4 years ago I I had a HP laptop that one day fell out of my locker.
Slowly but surely over the next few days the blue screen of death popped up again and again. I took it to support and a few hours later a very worried looking young man came to my office.
He was clearly scared to tell me that my computer's hard drive was damaged and lost.
I grinned and simply asked when I could get a new hard drive.
He seemed surprised by my lack of concern. Certainly I had lost some things that would need to be re-installed but I was using SharePoint 2003 for team sites and my own MySite. Most of my critical content I needed to work was stored.
That is the core utility of this tool.