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.

Percent Off Calculator

Enter the original price and discount percentage to see the sale price, dollar saving and effective rate, or enter the original and sale prices in reverse mode to find out what percentage discount was applied.

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

1. Price and Discount

Original price

Discount percentage

Preset discount (optional shortcut)

2. Reverse: Find the Discount Rate

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

Original price (reverse)

Sale price (reverse)

Discount applied: --

Results

You Save

Sale Price
-
Final amount to pay

Original Price

Before discount

Common Discounts at This Price

Discount	You Save	Sale Price	Saving as % of Original

Calculation Breakdown

Original price-

Discount rate-

Dollar saving-

Sale price-

Worked Example

FormulaSale = Original x (1 - %/100)

Step 1: saving-

Step 2: sale price-

Check: saving + sale-

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:

Dollar saving = Original Price x (Discount% / 100)
Sale price = Original Price x (1 - Discount% / 100)

For example, 25% off $120.00:

Saving = $120.00 x 0.25 = $30.00
Sale price = $120.00 x 0.75 = $90.00

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

Discount	Fraction equivalent	You pay	Example: $100 item
10% off	1/10	90%	$90.00
20% off	1/5	80%	$80.00
25% off	1/4	75%	$75.00
33% off	approx 1/3	67%	$67.00
50% off	1/2	50%	$50.00
75% off	3/4	25%	$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:

Discount% = ((Original Price - Sale Price) / Original Price) x 100

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%):

Saving = $120.00 x 0.25 = $30.00
Sale price = $120.00 x 0.75 = $90.00
Check: $30.00 + $90.00 = $120.00 (matches original price)

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

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Percentage Increase Calculator: find the new value after a percentage increase.
Percentage Off Plus GST Calculator: apply a discount and then add GST in one step.

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.

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