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There are two ways. Suppose you want to increase a number X by Y%:


The simple way (with limited applications).

  • Calculate Y% of X = X*Y/100
  • Add this X.

The less simple way but one with applications for the next steps in percentage changes (compound changes and, if given the value AFTER a percentage increase, finding the original value:

  • Calculate the multiplier, M = 1 + Y/100
  • Multiply X by M.

The advantage of using M are:

If you need to calculate the value of X if it increases by Y% every year for n years, the answer is

X*M^n


If you know that AFTER an increase of Y% the value was X, then the original value was X/M.


Of course, if it is a Y% decrease, then M = 1 - Y/100.

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7y ago
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Q: How do you do percentage increase in math?
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