Calculate percentage increase from initial (old) value to final (new) value:

Calculate final (new) value from initial (old) value and percentage increase:

The percentage increase/decrease from initial value (V_{initial}) to final value (V_{final}) is equal to the initial and final values difference divided by the initial value times 100%:

percentage increase = *V*_{final} - *V*_{initial}*V*_{initial} × 100%

Price percentage increase from initial value of $1000 to final value of $1200 is caluclated by:

percentage increase =

$1200 - $1000$1000

× 100% = 0.2 × 100% = 20%Price percentage increase from initial value of $1000 to final value of $800 is caluclated by:

percentage increase =

$800 - $1000$1000

× 100% = -0.2 × 100% = -20%So

percentage decrease = 20%

The difference d is equal to the initial value *V*_{initial} times the percentage increase/decrease p divided by 100:

The final value *V*_{final} is equal to the initial value *V*_{initial} plus the difference d:

*V*_{final} = *V*_{initial} + *d*

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