X% of a number · percentage share · percentage change

A percent is one hundredth of a whole: X% of Y = X/100·Y. Percentage change is always relative to the initial value: (B−A)/A·100%.
The three most common percentage calculations in one place. A percent is one hundredth of a whole:
Percentage share (what % is of ): . Percentage change is always measured relative to the initial value:
The calculator tells you whether it is an increase or a decrease. Note: a 50% increase followed by a 50% decrease does not return to the starting point — because percentages are taken from different bases.
You subtract the initial value from the final one, divide by the initial value and multiply by 100%. E.g. from 150 to 180: (180−150)/150·100% = 20%.
Because the second percentage is taken from the new, larger base. 100 → +50% = 150 → −50% = 75, not 100. Percentages are not symmetric.
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