Percent Off Calculator

This calculator works out how much you save and what you will pay when a percentage discount is applied to a price, and it also works in reverse to tell you what discount rate was used between two prices you already know. Enter the original price and the discount percentage, or pick a common discount from the preset dropdown running from 5% through to 75%, and it instantly returns the dollar saving, the sale price and the original price side by side, along with a comparison table showing what you would pay at every common discount level on the same item. A calculation breakdown and worked example show each step of the maths, from the saving through to the final sale price, plus a check that the two figures add back up to the original. If you already know both the before and after prices, use the reverse section instead: enter the original and sale price, and it works out the exact discount percentage applied. This is handy for checking advertised sale prices or confirming a store has charged you correctly. The results are exact arithmetic and do not account for GST or retailer-specific rounding, so use them as a guide alongside the price actually charged at the till.

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Standard formula  Sale Price = Original Price x (1 - Discount% / 100). Saving = Original Price x (Discount% / 100).

1. Price and Discount

$
%

2. Reverse: Find the Discount Rate

Already know the original and sale price? Enter both below to find the percentage saved.

$
$
Discount applied: 25.00% off ($40.00 saving)

Results

You Save
$30.00
25.00% discount
Sale Price
$90.00
Final amount to pay
Original Price
$120.00
Before discount

Common Discounts at This Price

DiscountYou SaveSale PriceSaving as % of Original

Calculation Breakdown

Original price$120.00
Discount rate25.00% off
Dollar saving$30.00
Sale price$90.00

Worked Example

FormulaSale = Original x (1 - %/100)
Step 1: saving$120.00 x 25.00% = $30.00
Step 2: sale price$120.00 - $30.00 = $90.00
Check: saving + sale$30.00 + $90.00 = $120.00
Summary: Enter a price and discount above.

How to Calculate Percent Off

A percent-off discount reduces an original price by a fraction of itself. The two key formulas are:

For example, 25% off $120.00:

This is equivalent to multiplying the original price by the remaining percentage (100% - discount%). A 25% discount means you pay 75% of the original price.

Common Discount Reference Table

DiscountFraction equivalentYou payExample: $100 item
10% off1/1090%$90.00
20% off1/580%$80.00
25% off1/475%$75.00
33% offapprox 1/367%$67.00
50% off1/250%$50.00
75% off3/425%$25.00

Finding the Discount Rate from Two Prices

If you know the original price and the sale price but not the discount percentage, use this formula:

For example, an item originally priced at $160 is on sale for $120: Discount% = (($160 - $120) / $160) x 100 = ($40 / $160) x 100 = 25%.

Worked Example Matching Default Inputs

With the default values (original price $120.00, discount 25%):

Percent Off vs Percentage Decrease

A "percent off" discount and a "percentage decrease" describe the same mathematical operation when the context is price reductions. The only difference is framing: retailers say "30% off"; mathematicians say "a 30% decrease". Both mean the new value is 70% of the original.

Related Calculators

Sources and method: Standard arithmetic formula for percentage discounts. Sale Price = Original Price x (1 - Discount / 100). Consistent with New Zealand Consumer Protection guidelines on advertised discounts (consumerprotection.govt.nz) and general retail mathematics.

This calculator provides exact arithmetic results for the inputs supplied. It does not account for GST, tax implications, or retailer-specific rounding. For discounts that include NZ GST, use the Percentage Off Plus GST Calculator.

Frequently asked questions

How do you calculate a percent off a price?

To calculate a percent-off discount, multiply the original price by the percentage divided by 100, then subtract that amount from the original price. For example, 30% off $120: saving = $120 x 0.30 = $36; sale price = $120 - $36 = $84. Alternatively, multiply the original price by (1 minus the decimal percentage): $120 x 0.70 = $84.

What is the formula for the final price after a percent-off discount?

The formula is: Sale Price = Original Price x (1 - Discount% / 100). The dollar saving is: Saving = Original Price x (Discount% / 100). For example, 25% off $200: Sale Price = $200 x (1 - 0.25) = $200 x 0.75 = $150. Saving = $200 x 0.25 = $50.

How do I work out what percentage off was applied if I know the original and sale prices?

Divide the saving (original price minus sale price) by the original price, then multiply by 100. For example, if an item was $80 and is now $60: saving = $20; discount% = ($20 / $80) x 100 = 25%. This calculator's reverse mode lets you enter any two known values to find the third.

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