"Boss, I was tasked to do X. Doing that manually is error-prone, tedious, and takes forever. I googled and found tool Y which solves that problem. A license costs $40."

"How many hours do you save by using this?"

"Right now? I'd say about 3-4. Plus the same again if we need to do X again (maybe next year)."

"No-brainer. Send me a link."

Edit: Just as an example. Let's say he was very pragmatic. :)