The Product ID is not on your sticker - unless it's a refurbished computer.
What should be on your COA sticker is the Product Key. - and it should also state the exact version of the OS.
https://www.microsoft.com/en-us/howtotell/Hardware.aspx
I found this:
http://answers.microsoft.com/en-us/w...f-57dd00cecb50
Look at Jamessp's reply.
I have the exact same code at the bottom right of my CoA sticker: X12-51803
Also mine is a Student Laptop.
That CoA sticker sounds more likely to be an Office one than Windows?
Can you take a picture of it, and blank out the Key area before posting it?
Ahh yes it is an Office CoA sticker.
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