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by Zecc
980 days ago
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A percentage always reflects a ratio between a quantity and another reference quantity. When you say a value is 6 percent higher, you are saying it went from X to (X + X*(6/100)) = (X*106/100) = 106% of the value you had before (whatever it was). When you say it is 6 percentage points higher it means you had a percentage Y% and it is now (Y+6)%, a value which cannot be determined unless you know Y, never mind the reference absolute value it relates to. In this particular case you can say it went from 7% to 13.2%, so if you ignore "%" as the unit the actual change is from 7 to 13.2; a ((13.2-7)/7) ≈ 0.8857 = 88% change. Had the original percentage been say 67%, a 6.2 p.p. change would have increased the percentage to 73.2%; a much smaller ((73.2-67)/67) ≈ 0.0925 = 9% change. Had the change been "six percent of seven percent", the new value would be 7+7*(6/100) = 7.42 (percent). |
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