Work out the percentage increase between two numbers. Enter the original (old) value and the new value, and the calculator shows the percentage increase, along with the actual amount of the change. It is useful for price rises, pay increases, growth between two periods, and any time you need to express a rise as a percentage.
If the new value is lower than the original, the result is shown as a percentage decrease.
Subtract the original value from the new value to get the change, divide that change by the original value, then multiply by 100. In short, percentage increase equals (new minus old), divided by old, times 100.
A weekly rent rises from $500 to $540. The change is $40. Divide $40 by the original $500 to get 0.08, then multiply by 100. That is an 8% increase.
To go the other way and increase $500 by 8%, multiply $500 by 1.08, which gives $540.
To increase a value by a percentage, multiply it by 1 plus the percentage as a decimal. For example, to add a 15% margin to a $200 cost, multiply $200 by 1.15 to get $230.
They use the same formula. Percentage change covers both rises and falls, so a negative result is a percentage decrease.
Because a percentage increase is always measured against the starting point. The same $10 rise is a bigger percentage when the starting value is small.
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