Not nearly everyone but I think that a significant amount of the global population would soon recognize its usefulness and use it instead of cash in their daily financial transactions. Also, I think we would see a boom in the merchant side of bitcoin: businesses offering discounts, promos and of course, items in exchange for bitcoin. It would be great for bitcoin overall since it would greatly stimulate the economy and circulate bitcoins instead of people hoarding it.
Bitcoin will gain more popularity by then and it will be used and accepted at majority of place but I don't think that it will be used by everyone, I think it will take almost a decade for that to happen.
I think in each year bitcoin will always grow in popularity, yeah it proved today many of my friends started to know and adopt bitcoin bitcoin? but I think for a period of 6 years up to 2022, I do not think that users will encompass all mankind? perhaps just a few percent