Percentage Increase vs Percent Off
Percentage increase and percent off answer the same kind of forward question in opposite directions: you have an original value and a known percent, and you want the new value after applying that percent. A percentage increase adds the percent — the framing for a raise, markup, price hike, budget increase, or fee added to a bill. Percent off subtracts the percent — the framing for a sale tag, coupon, or markdown. Neither computes a rate from two observed values, which is what the percentage change calculator does.
The two pages even reference each other: the percentage increase article points to the percent off calculator as the more direct tool when you are removing a percent instead of adding one. The arithmetic overlaps completely — both multiply the original by the percent divided by 100 — but the unit, the output, and the interpretation differ.
What each calculator does
The percentage increase calculator accepts finite, nonnegative original values and finite, nonnegative increase percentages. It computes the increase amount as original × percent/100, then adds it to the original to get the new value. Zero is valid: a zero original remains zero, and a zero rate leaves any original unchanged. A 100 percent increase doubles a positive original value. The increase amount carries the same unit as the original value, so dollars stay dollars and kilograms stay kilograms.
The percent off calculator takes an original price and a percent off between 0 and 100. It computes the discount amount as price × percent/100, then subtracts it to get the sale price before tax, shipping, tips, or fees. The page limits the discount to 100 percent because a larger discount would produce a negative sale price. It shows the sale price as the primary answer, with savings, discount, and original price in the details.
Side-by-side comparison
| Feature | Percentage Increase Calculator | Percent Off Calculator |
|---|---|---|
| Question answered | What is the new value after adding a percent? | What do I pay after a percent discount? |
| Direction | Adds the percentage | Subtracts the percentage |
| Inputs | Original value, increase percentage | Original price, percent off |
| Key outputs | Increase amount, new value | Discount amount, sale price |
| Input limits | Nonnegative original and rate | Discount 0% through 100% |
| Edge case | 100% increase doubles the original | 100% discount reduces the price to zero |
| Typical use | Raises, markups, price hikes, budget growth | Sale tags, coupons, markdowns |
| Includes tax or fees? | No — increase amount in the original unit | No — sale price before tax, shipping, fees |
When to use which
Use the percentage increase calculator when a percent is being added to a starting value: a subscription price going up by a stated percent, a store marking an item up, a raise percentage applied to a salary, or planned budget growth. Use the percent off calculator when a store advertises a discount and you want what you pay: a 25% off tag on an 80 dollar item saves 20 dollars and leaves a 60 dollar sale price before tax.
If you have two observed values instead of a stated percent — a price used to be 100 dollars and is now 70 — you need the percentage change calculator, not either of these. Both articles carry the same cautions about stacking: sequential percentages apply to a changing base, so a 20% discount followed by 10% off is not 30% off, and a 20% increase followed by a 20% decrease does not return to the start. For part-of-a-whole percentages, the broader percentage calculator is the starting point.
Where to start
- Percentage increase calculator — increase amount and new value from an original value and a known percent.
- Percent off calculator — discount amount and sale price from an original price and a percent off.