Remember that when Frodo put on the ring he became invisible. He did not have access to the ring's power without wearing it. I presume that it was the Same for Sauron as well. When Frodo was using some of Sauron's power when he wore the ring, and when he claimed it for his own, he got the power for himself. Sauron didn't still have 100 units of power, he GAVE it to the ring in order for to get the recharge.
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-Halbarad to Aragorn, 'The Passing of the Grey Company' Book V, Return of the King."A little people, but of great worth are the Shire-folk. Little do they know of our long labour for the safekeeping of their borders, and yet I grudge it not"
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