You wrote in detail the Watts, Volts and more. Let's skip to the bottom line and recall a little history.

Given the same polarity, Volts, Watts and amperes all looks ready to plug it in. HOWEVER due to (google this!) laptop battery fires there is some smarts in today's laptops that talk with the power brick (it's not a cord) and if it's not supported you should see nothing happen or maybe a message such as "Plugged in, not charging."

Good luck.