Bitcoin raised a very important question on everyones mind:
Do you really control your money?
In this digital era we are living, cash is something that less and less people is using on a daily basis, and if you think about it, cash was the only real way that you would have a direct control of your money.
The banks started an era of making it easier to manage your wealth, since it was impractical to hold all your liquid wealth in one big coffer on your house.
Also, the banks were a big improvement on the economic side, since now people could more easily lend money to each other, most of the times to fund a project that would improve the society as a whole.
But in time, a big problem started to form: A small amount of entities started to have a control over most of the money circulating on the world. Things could work fine, if greed weren't one of the basics human feelings.
What we have today is a small amount of people that have the possession of everyone elses wealth. And we have to trust these people that they wont just close the doors and run away.
Bitcoin started to solve these two big problems: physical impossibility to store a lot of cash, and the need to trust another person that he wont disappear with all you life savings.
The price of the Bitcoin is the smaller thing that give it value (and remember that value is not the same as price).
The Bitcoin protocol/system/network + plus the easy access we have to information, where if some quick digging we can find out what most of the big players on the financial world do with our money is what gives the true value.
It's essentialy a paradigm shift on our relation with money.