％ Calculate

Percentage changes are relative to whichever value you call the starting point, which is why they are not symmetric: going from a hundred to a hundred and fifty is a fifty percent rise, but coming back down is a thirty-three percent fall, and the same two numbers give two different percentages depending on the direction. That asymmetry is also why sequential changes multiply rather than add — a rise and an equal-sized fall always leave you below where you began. Reverse calculations matter for the same reason: taking the tax rate off a tax-inclusive price is not the same as applying the rate to that price, and the difference grows with the rate. Percentage points and percent are also distinct, so a rate moving from five to seven percent is a two point move but a forty percent relative increase, and reporting one as the other is a common source of confusion in statistics and finance. Recurring decimals such as one third are shown rounded, so a converted fraction may be approximate.