In American English, a 'simple majority' means over half the valid votes cast. On the other hand, a 'qualified majority' includes stipulations like 'two-thirds of the valid votes cast provided that at least 60% of those eligible to vote do so'. Other English-speaking countries such as Britain and Canada and all non-English speaking countries (some exclusively) have retained the original meaning of 'majority' as the greater number or part, so that 'simple majority' means more votes than any other candidate or party (so 'relative majority' has been used as a synonym), though the American English meaning is often employed.
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