Hey Dan, many of us (well, me and other mates of mine, over the years) have made that exact mistake!
What rear sprocket were you starting with? The other thing to consider is the wheelbase change, and the associated changes to the bike's handling, if moving the rear wheel rearwards by a lot. I strongly recommend going 1 tooth smaller on the front, rather than up on the rear. 1 tooth on on the front is roughly equivalent to 3 teeth up on the back, so you get a lot of 'bank for your buck' by changing the front.
There are other advantages too: front sprockets are in the $20 to $40 range, so quite a bit cheaper than rears. They don't significantly change the rear wheel position (only a few mm), so don't throw your handling out. And finally (assuming you have a rattle gun, or the nut isn't welded on due to years of corrosion and gunk), they are quicker to change! No need to remove the rear wheel. Oh, and you don't need to buy a new chain!
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