Percentage Increase Calculator
A percentage tells you the size of a move; this calculator performs the move. Give it a starting number and a rate — a mark-up, a fee revision, a discount — and it returns the size of the change, the value after the change, and the same move read backwards as a percentage. Falls work the same way: enter a negative rate and the arithmetic simply reverses direction.
Enter values
Results
- Change in value
- 240
- New value
- 1,840
- From 1,600 to 1,840
- +15%
How is the Percentage Increase calculated?
Two inputs carry the calculation. The original value is your starting point — marks, units, a price, anything countable. The percentage is the rate applied to it; negative values mean a decrease, and the form accepts anything from −100% to +1000%. Three results follow: the change in absolute terms, the new value after the change, and a reverse row reading from the original to the new value as a percentage.
Formula
New value = original × (1 + percent ÷ 100). Change = original × percent ÷ 100, so a negative rate subtracts. Reverse check = (new value − original) ÷ original × 100, which returns the rate you entered. Original is the starting number, percent the rate in percentage points, and the reverse row needs an original above 0 to divide by.
Example
An assembly line that built 1,600 units last month is booked for a 15% increase: 1,600 × 15 ÷ 100 = 240 extra units, so the new target is 1,600 + 240 = 1,840. Read backwards, (1,840 − 1,600) ÷ 1,600 × 100 = 15%, exactly what the reverse row reports. A 10% cut on the same line removes 160 units instead and leaves 1,440 — only the sign changes, so one page covers rises and falls.
Things to remember
The answer always hangs on the base: 240 units is 15% of 1,600 but only 12% of 2,000. Use the reverse row as a sanity check whenever somebody quotes you a growth figure, and remember that repeated growth is a separate question — 10% a year for three years does not make a number 30% bigger.
Frequently Asked Questions
How do you calculate a 20% increase on a number?
Multiply the original by 1.20. A figure of 1,600 becomes 1,600 × 1.20 = 1,920, so the increase is 320. Equivalently, find 20% of 1,600 — which is 320 — and add it: both routes give the same answer, and the calculator shows the two steps separately.
How do you reverse a percentage increase?
Subtract the increase and divide by the new figure. Going from 1,600 to 1,840 gives (1,840 − 1,600) ÷ 1,600 × 100 = 15%. The reverse row in the results does exactly this, so it is the quickest way to check a growth rate somebody else has quoted.
What does a negative percentage mean here?
It applies the rate as a decrease. Enter −10% against 1,600 and the change is −160, leaving 1,440 — the same arithmetic with the sign flipped. A rate of −100% empties the value completely, which is what a total loss looks like in percentage terms.
Why does the calculator show a dash for zero?
Because a percentage change starting from 0 has no base to measure against. Any rate applied to zero gives the same zero, and reading the move backwards would divide by nothing, so the page reports dashes instead of a figure that would mislead.
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