Synaptic Package Manager is a graphical front-end for APT. You can use it to install, remove, upgrade, fix broken packages. Synaptic Package Manager accounts for root access and incorporates dependencies while also displaying the latest package versions.
Installation: Use the terminal (ctrl+alt+t) and enter
sudo apt install synaptic. Once installed, Synaptic Package Manager can be found under the System Tools sub-menu.
Usage: Search for packages using the button on the ribbon menu.
For example, VLC. This is already installed on my machine, so the box left of the package name is shaded grey. Installation and Removal options can be accessed by right-clicking the package name.
Then click Apply on the ribbon menu and let the process complete.
Finally, if you encounter broken package warnings, you can check for these under the Broken filter and have Synaptic Package Manager fix these for you using Edit -> Fix Broken Packages.