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To find the percentage increase in the amount of water Brinlyn drank per day, we need to divide the increase in ounces by the original amount and then multiply by 100%.
The increase in the amount of water she drank per day is 40 oz - 32 oz = 8 oz.
The original amount Brinlyn drank per day is 32 oz.
The percentage increase is (8 oz / 32 oz) * 100% = 25%. Answer: \boxed{25}.