Apple pays the most taxes, but not at the highest rates.
"As our business has grown over the years, we have become the largest taxpayer in Ireland, the largest taxpayer in the United States, and the largest taxpayer in the world." —Tim Cook, letter to Europe
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Note: Earlier versions of this chart had two different numbers for Amazon's tax rate, neither of which seems to be correct. Until I understand what's going on, I'm taking it out.