How to extend partition to all unallocated space in a VPS?

I rent a VPS that uses a SSD of 10GB (Debian 7) and I upgraded yesterday to their “second tier” plan that uses a 20GB disk. However, the “one-click-upgrade” process didn’t work as I expected and what they did was to move my data to a bigger drive without actually extending the partitions. So now I have 10GB of unallocated space.