Jdaddy404,I did a completely new backup to my Time Capsule by navigating to it in the Finder, and deleting the "sparsebundle" file that was my previous backup. I could have also used Airport Utility to erase the entire disk. If you're using a local drive (via USB, Firewire, or Thunderbolt) for your backups, you should be able to delete the backup folder therein, or use Disk Utility to erase it completely (if that's all that's on there.) And the next time Time Machine attempts a backup, it will be a new, fresh one. And therefore will take a long time.
I will also add that navigating inside the Time Machine backup itself to recover files is a bad idea. I use the Time Machine interface via the Finder, and it makes a lot more sense. Apple removed the ridiculous "galaxy" animation for this in Yosemite, and something else broke, because the Time Machine snapshots appeared empty. Now with 10.10.1 however, this issue has been fixed. At least for me. It's working just as well as it ever did in Mavericks, only without the silly "galaxy" backdrop.
Lastly, if Time Machine isn't working for you, I can recommend Carbon Copy Cloner, or Super Duper, as good backup alternatives. They make bootable clone backups (with incremental updates,) which can be very useful. I also use CrashPlan, which backs my data up to a server in the cloud. That way if my backup drives are ever lost or stolen or burned in a fire, I still have backups "off site" I can rely on. Incidentally, CrashPlan also is having a 50% off "pre Black Friday" sale on their Family Plan. I renewed my subscription there a few days ago, for two years. Their service is good, at a price I couldn't pass up.
You can never have too many backups, I say, and I'm glad Time Machine is back up and running as my primary one.