business calculator

Discount Calculator

Use our free discount calculator to find the sale price, savings, and discount percentage. Shows step-by-step work for any type of discount.

Formula Verified by Dr. Marcus Sterling, PhD

Quick actions: Save inputs, view saved runs, print, share, or export results

Saved Runs

Inputs

Item Specifications

Original Ticket Price ($)$

Primary Discount

Discount Rate Model

Discount Rate (%)%

Apply Stacked Coupon (Double Discount)

Apply Checkout Sales Tax

Results

Final Price You Pay

$80.00

You save $20.00 (20.0% Off)

Step-by-Step Breakdown

Original Price Tag$100.00

Store Markdown (20% off)-$20.00

Subtotal: $80.00

Effective Discount Rate20.00%

Total Savings Saved$20.00

Bookmark this shopping companion

Save this calculator on your phone to instantly audit clearance tags, coupons, and sales taxes directly from the retail store aisle.

Formula

Shopping Discount Formulas

Discount Amount = Original Price × (Discount Rate / 100)
Sale Price = Original Price − Discount Amount
Compound Stacked Price = Sale Price × (1 − Stacked Rate / 100)
Original Price = Sale Price / (1 − Discount Rate / 100)
Discount Percentage = ((Original Price − Sale Price) / Original Price) × 100

Percentage discounts represent fractions of the base price. Compounded secondary discounts apply to the net subtotal of the first discount, meaning that rates are sequential, not cumulative. Sales taxes are computed and added at checkout on the final discounted total.

Step by step

How the calculation works

1Select your shopping calculation mode at the top of the inputs.
2Single Item: Enter original price, select your markdown percentage or fixed drop, stack a coupon if allowed, and add local sales tax.
3Clearance Cart: Add multiple items with name tags, quantities, and distinct markdown styles to build a complete clearance checkout bill.
4Reverse Finder: Fill two values to reveal the original ticket price, calculation of markdown percentage, or solve for the maximum sticker price you can afford given your budget.
5Review the Spent vs Saved summaries, effective percentages, and charts in the results panel.

Example

Shopping Bargain Walkthrough

A shopper buying boots (originally $120, marked 30% off) with an additional 10% coupon enters the values in the single item calculator. The first drop cuts $36 (leaving $84), and the coupon cuts another $8.40 (leaving $75.60). With a sales tax of 8%, the final cash register price is $81.65. Overall savings total $44.40, which is an effective markdown rate of 37% off.

Related guides

Learn more about this calculation

Guide

Discount, Markup, and Margin: A Practical Pricing Guide

Calculate sale price, markup, and margin, then test how a discount changes unit profit, required sales volume, and the economics of a promotion.

Guide

Percentage Change Guide: Increase, Decrease, Difference

Learn when to use percent of, percent change, and percent difference with worked examples tied to the live DTC percentage calculator.

How to understand and use this calculator

Quick Answer: How to Calculate Percent Off

A discount is a reduction in the original price of a product or service. To calculate the sale price quickly:

Discount Amount = Original Price × (Discount Percentage ÷ 100)
Sale Price = Original Price − Discount Amount

If you need to verify margins or markup adjustments on the seller side, check out our Markup Calculator or calculate overall purchase ratios with our Percentage Calculator.

Simple worked example:

Original Price: $100
Discount: 20% off
Discount Amount: $100 × 0.20 = $20
Sale Price: $100 − $20 = $80

Quick reference guides for calculations:

10% off — Shift the decimal point one place to the left (e.g., 10% of $45.00 is $4.50).
20% off — Move the decimal one place left and double it (e.g., 20% of $45 is $4.50 × 2 = $9.00).
25% off — Divide the original price by 4 (e.g., 25% of $80 is $20).
50% off — Divide the original price by 2 (e.g., 50% of $100 is $50).

What is a Discount?

A discount is a reduction in the original price of a product or service. It is a fundamental tool for retail sales, clearance campaigns, inventory rotation, and customer acquisition.

Core parameters to remember:

Original Price — The full ticket price before any markdowns or coupon codes.
Sale Price — The final price you pay before sales tax is applied.
Discount Amount — The dollar cash savings (Original Price − Sale Price).
Discount Percentage — The rate of reduction expressed as a fraction of 100.

Why retailers offer discounts:

To clear seasonal inventory (e.g., summer apparel in autumn).
To build client lists and encourage store traffic.
To incentivize volume purchases (quantity breaks).

Why shoppers love discounts:

Reduced financial risk when trying new products.
Higher purchasing power, extending home budgets.

The Discount Formula

These formulas handle any consumer shopping scenario:

1. Calculating Sale Price (Percentage Off)

Sale Price = Original Price × (1 − Discount Percentage ÷ 100)

Example: An item is $80 with a 15% discount. Sale Price = $80 × (1 − 0.15) = $80 × 0.85 = $68.

2. Calculating Sale Price (Fixed Amount Off)

Sale Price = Original Price − Discount Amount

Example: An item is $150 with a $25 off coupon. Sale Price = $150 − $25 = $125.

3. Finding the Discount Percentage

Discount Percentage = ((Original Price − Sale Price) ÷ Original Price) × 105

Example: Original price was $120, sale price is $90. Discount Percentage = (($120 − $90) ÷ $120) × 100 = (30 ÷ 120) × 100 = 25%.

For service industry check calculations, try our Tip Calculator.

How to Calculate Discount — Step by Step

Follow these 4 simple steps to calculate any discount manually:

Step 1: Identify the original price. Find the full price on the tag. Example: $90.
Step 2: Identify the discount percentage. Example: 20% off.
Step 3: Calculate the discount amount. Convert the percentage to a decimal by dividing by 100, then multiply: $90 × 0.20 = $18.
Step 4: Subtract the discount amount. Deduct the savings from the original price: $90 − $18 = $72.
Result: The final sale price is $72, saving you $18.

How to Calculate Sale Price & Multi-Discount Compounding

Sometimes, stores allow you to stack discounts. For example, a store offers 20% off apparel, and you possess an additional 10% email newsletter signup coupon.

Important Warning: Stacking discounts do NOT add together directly! A 20% discount plus a 10% discount is not a 30% discount. Instead, they compound sequentially:

Step 1: Apply the primary store discount. For a $100 item: $100 × (1 − 0.20) = $80.
Step 2: Apply the secondary coupon to the *already discounted* price. $80 × (1 − 0.10) = $72.
Final Price: You pay $72. Your total savings is $28, which is an effective discount of 28% (not 30%).

To quickly compute sequential percent drops or tax additions, use our Sales Tax Calculator and Profit Margin Calculator.

How to Find the Original Price

If you know the sale price and the discount percentage but want to find the original sticker price, you can reverse-engineer it using this formula:

Original Price = Sale Price ÷ (1 − Discount Percentage ÷ 100)

Worked Example:

An item is on sale for $80, marked 20% off.
Convert percentage to decimal: 20% = 0.20.
Subtract from 1: 1 − 0.20 = 0.80.
Divide sale price: $80 ÷ 0.80 = $100.
Result: The original price of the item was $100.

Excel Formulas for Shopping Discounts

To track retail purchases or inventory markdowns in spreadsheets, use these formulas:

Calculate Sale Price: `=OriginalPrice * (1 - DiscountPercent)` (where DiscountPercent is formatted as percentage).
Calculate Discount Percentage: `=(OriginalPrice - SalePrice) / OriginalPrice` (format cell as Percentage).
Calculate Original Price: `=SalePrice / (1 - DiscountPercent)`.

Fake Discounts — Retail Deceptions to Avoid

Be vigilant against fake discounts (often called fictitious pricing). Retailers frequently employ psychological pricing strategies to create false urgency:

Inflated Original Prices — Stores artificially mark up the baseline price of an item just before a sale, making a standard price look like a massive discount.
Constant Sales — If an item is permanently "marked down" by 50%, the sale price is actually the normal retail price.
Deceptive BOGO Schemes — Raising the price of the first item to offset the "free" secondary product.

How to safeguard your budget: Check historical price charts (like CamelCamelCamel for Amazon) and shop around to confirm the actual market value before buying.

Practice Problems

Problem 1: A pair of leather boots costs $80 and is marked 25% off. What is the sale price?

*Solution:* Discount Amount = $80 × 0.25 = $20. Sale Price = $80 − $20 = $60.

Problem 2: A computer monitor is marked down from $1,200 to $960. Find the discount percentage.

*Solution:* Savings = $1,200 − $960 = $240. Discount Rate = ($240 ÷ $1,200) × 100 = 20%.

Problem 3: A designer coat is on sale for $600, which represents a 40% discount. What was the original price?

*Solution:* Original Price = $600 ÷ (1 − 0.40) = $600 ÷ 0.60 = $1,000.

Problem 4: You purchase a $200 item with a 15% store markdown, plus a stacked 10% coupon. What is your checkout cost?

*Solution:* First markdown = $200 × 0.85 = $170. Coupon markdown = $170 × 0.90 = $153.

Common Discount Calculation Pitfalls

Adding percentages directly — Treating a stacked 20% + 10% off as 30% off instead of compounding them sequentially.
Forgetting to subtract — Calculating the discount amount (e.g. 20% of $50 = $10) and forgetting to subtract it from the original price to get the final bill ($40).
Applying sales tax before discounts — Taxes must always be applied to the final sale price, not the initial pre-discount price.

Related concepts

Markup Calculator

Determine markup percentages and profit margins for sales.

Sales Tax Calculator

Calculate final transaction costs including state sales taxes.

Tip Calculator

Split bills and calculate server gratuities easily.

Percentage Calculator

Evaluate general percentage changes and differences.

Frequently Asked Questions

What is a discount calculator?+

A discount calculator is a utility that helps you compute sale prices, saved cash, and percentage markdowns for single items or an aggregated cart.

How do you calculate percent off?+

Multiply the original price by the discount percentage as a decimal to find the savings amount, then subtract that amount from the original price.

How do stacked discounts work?+

Stacked discounts are applied sequentially. The secondary coupon is applied to the already discounted price, not added to the primary rate. 20% off followed by 10% off results in a 28% total discount.

How do I find the original price if I know the sale price and discount?+

Divide the sale price by (1 minus the discount percentage expressed as a decimal). Example: $80 sale price at 20% off = $80 ÷ 0.80 = $100 original price.

What is a fake discount?+

A fake discount is a marketing trick where the original price is artificially inflated to make a standard price seem like a large savings opportunity.

Shopping Discount Formulas

Discount Amount = Original Price × (Discount Rate / 100) Sale Price = Original Price − Discount Amount Compound Stacked Price = Sale Price × (1 − Stacked Rate / 100) Original Price = Sale Price / (1 − Discount Rate / 100) Discount Percentage = ((Original Price − Sale Price) / Original Price) × 100

How the calculation works

1Select your shopping calculation mode at the top of the inputs.

2Single Item: Enter original price, select your markdown percentage or fixed drop, stack a coupon if allowed, and add local sales tax.

3Clearance Cart: Add multiple items with name tags, quantities, and distinct markdown styles to build a complete clearance checkout bill.

4Reverse Finder: Fill two values to reveal the original ticket price, calculation of markdown percentage, or solve for the maximum sticker price you can afford given your budget.

5Review the Spent vs Saved summaries, effective percentages, and charts in the results panel.

Shopping Bargain Walkthrough

How to understand and use this calculator

Quick Answer: How to Calculate Percent Off

A discount is a reduction in the original price of a product or service. To calculate the sale price quickly:

Discount Amount = Original Price × (Discount Percentage ÷ 100)
Sale Price = Original Price − Discount Amount

If you need to verify margins or markup adjustments on the seller side, check out our Markup Calculator or calculate overall purchase ratios with our Percentage Calculator.

Simple worked example:

Original Price: $100
Discount: 20% off
Discount Amount: $100 × 0.20 = $20
Sale Price: $100 − $20 = $80

Quick reference guides for calculations:

10% off — Shift the decimal point one place to the left (e.g., 10% of $45.00 is $4.50).
20% off — Move the decimal one place left and double it (e.g., 20% of $45 is $4.50 × 2 = $9.00).
25% off — Divide the original price by 4 (e.g., 25% of $80 is $20).
50% off — Divide the original price by 2 (e.g., 50% of $100 is $50).

What is a Discount?

A discount is a reduction in the original price of a product or service. It is a fundamental tool for retail sales, clearance campaigns, inventory rotation, and customer acquisition.

Core parameters to remember:

Original Price — The full ticket price before any markdowns or coupon codes.
Sale Price — The final price you pay before sales tax is applied.
Discount Amount — The dollar cash savings (Original Price − Sale Price).
Discount Percentage — The rate of reduction expressed as a fraction of 100.

Why retailers offer discounts:

To clear seasonal inventory (e.g., summer apparel in autumn).
To build client lists and encourage store traffic.
To incentivize volume purchases (quantity breaks).

Why shoppers love discounts:

Reduced financial risk when trying new products.
Higher purchasing power, extending home budgets.

The Discount Formula

These formulas handle any consumer shopping scenario:

1. Calculating Sale Price (Percentage Off)

Sale Price = Original Price × (1 − Discount Percentage ÷ 100)

Example: An item is $80 with a 15% discount. Sale Price = $80 × (1 − 0.15) = $80 × 0.85 = $68.

2. Calculating Sale Price (Fixed Amount Off)

Sale Price = Original Price − Discount Amount

Example: An item is $150 with a $25 off coupon. Sale Price = $150 − $25 = $125.

3. Finding the Discount Percentage

Discount Percentage = ((Original Price − Sale Price) ÷ Original Price) × 105

Example: Original price was $120, sale price is $90. Discount Percentage = (($120 − $90) ÷ $120) × 100 = (30 ÷ 120) × 100 = 25%.

For service industry check calculations, try our Tip Calculator.

How to Calculate Discount — Step by Step

Follow these 4 simple steps to calculate any discount manually:

Step 1: Identify the original price. Find the full price on the tag. Example: $90.
Step 2: Identify the discount percentage. Example: 20% off.
Step 3: Calculate the discount amount. Convert the percentage to a decimal by dividing by 100, then multiply: $90 × 0.20 = $18.
Step 4: Subtract the discount amount. Deduct the savings from the original price: $90 − $18 = $72.
Result: The final sale price is $72, saving you $18.

How to Calculate Sale Price & Multi-Discount Compounding

Sometimes, stores allow you to stack discounts. For example, a store offers 20% off apparel, and you possess an additional 10% email newsletter signup coupon.

Important Warning: Stacking discounts do NOT add together directly! A 20% discount plus a 10% discount is not a 30% discount. Instead, they compound sequentially:

Step 1: Apply the primary store discount. For a $100 item: $100 × (1 − 0.20) = $80.
Step 2: Apply the secondary coupon to the *already discounted* price. $80 × (1 − 0.10) = $72.
Final Price: You pay $72. Your total savings is $28, which is an effective discount of 28% (not 30%).

To quickly compute sequential percent drops or tax additions, use our Sales Tax Calculator and Profit Margin Calculator.

How to Find the Original Price

If you know the sale price and the discount percentage but want to find the original sticker price, you can reverse-engineer it using this formula:

Original Price = Sale Price ÷ (1 − Discount Percentage ÷ 100)

Worked Example:

An item is on sale for $80, marked 20% off.
Convert percentage to decimal: 20% = 0.20.
Subtract from 1: 1 − 0.20 = 0.80.
Divide sale price: $80 ÷ 0.80 = $100.
Result: The original price of the item was $100.

Excel Formulas for Shopping Discounts

To track retail purchases or inventory markdowns in spreadsheets, use these formulas:

Calculate Sale Price: `=OriginalPrice * (1 - DiscountPercent)` (where DiscountPercent is formatted as percentage).
Calculate Discount Percentage: `=(OriginalPrice - SalePrice) / OriginalPrice` (format cell as Percentage).
Calculate Original Price: `=SalePrice / (1 - DiscountPercent)`.

Fake Discounts — Retail Deceptions to Avoid

Be vigilant against fake discounts (often called fictitious pricing). Retailers frequently employ psychological pricing strategies to create false urgency:

Inflated Original Prices — Stores artificially mark up the baseline price of an item just before a sale, making a standard price look like a massive discount.
Constant Sales — If an item is permanently "marked down" by 50%, the sale price is actually the normal retail price.
Deceptive BOGO Schemes — Raising the price of the first item to offset the "free" secondary product.

How to safeguard your budget: Check historical price charts (like CamelCamelCamel for Amazon) and shop around to confirm the actual market value before buying.

Practice Problems

Problem 1: A pair of leather boots costs $80 and is marked 25% off. What is the sale price?

*Solution:* Discount Amount = $80 × 0.25 = $20. Sale Price = $80 − $20 = $60.

Problem 2: A computer monitor is marked down from $1,200 to $960. Find the discount percentage.

*Solution:* Savings = $1,200 − $960 = $240. Discount Rate = ($240 ÷ $1,200) × 100 = 20%.

Problem 3: A designer coat is on sale for $600, which represents a 40% discount. What was the original price?

*Solution:* Original Price = $600 ÷ (1 − 0.40) = $600 ÷ 0.60 = $1,000.

Problem 4: You purchase a $200 item with a 15% store markdown, plus a stacked 10% coupon. What is your checkout cost?

*Solution:* First markdown = $200 × 0.85 = $170. Coupon markdown = $170 × 0.90 = $153.

Common Discount Calculation Pitfalls

Adding percentages directly — Treating a stacked 20% + 10% off as 30% off instead of compounding them sequentially.
Forgetting to subtract — Calculating the discount amount (e.g. 20% of $50 = $10) and forgetting to subtract it from the original price to get the final bill ($40).
Applying sales tax before discounts — Taxes must always be applied to the final sale price, not the initial pre-discount price.

Related concepts

Markup Calculator

Determine markup percentages and profit margins for sales.

Sales Tax Calculator

Calculate final transaction costs including state sales taxes.

Tip Calculator

Split bills and calculate server gratuities easily.

Percentage Calculator

Evaluate general percentage changes and differences.

Frequently Asked Questions

What is a discount calculator?+

A discount calculator is a utility that helps you compute sale prices, saved cash, and percentage markdowns for single items or an aggregated cart.

How do you calculate percent off?+

Multiply the original price by the discount percentage as a decimal to find the savings amount, then subtract that amount from the original price.

How do stacked discounts work?+

How do I find the original price if I know the sale price and discount?+

Divide the sale price by (1 minus the discount percentage expressed as a decimal). Example: $80 sale price at 20% off = $80 ÷ 0.80 = $100 original price.

What is a fake discount?+

A fake discount is a marketing trick where the original price is artificially inflated to make a standard price seem like a large savings opportunity.

Discount Calculator

Inputs

Item Specifications

Primary Discount

Results

Step-by-Step Breakdown

Bookmark this shopping companion

Shopping Discount Formulas

How the calculation works

Shopping Bargain Walkthrough

Learn more about this calculation

Discount, Markup, and Margin: A Practical Pricing Guide

Percentage Change Guide: Increase, Decrease, Difference

Discount Calculator

Inputs

Item Specifications

Primary Discount

Results

Step-by-Step Breakdown

Bookmark this shopping companion

Key output metrics

Checkout Breakdown

How to understand and use this calculator

Quick Answer: How to Calculate Percent Off

What is a Discount?

The Discount Formula

How to Calculate Discount — Step by Step

How to Calculate Sale Price & Multi-Discount Compounding

How to Find the Original Price

Excel Formulas for Shopping Discounts

Fake Discounts — Retail Deceptions to Avoid

Practice Problems

Common Discount Calculation Pitfalls

Related concepts

Frequently Asked Questions

Shopping Discount Formulas

How the calculation works

Shopping Bargain Walkthrough

Learn more about this calculation

Discount, Markup, and Margin: A Practical Pricing Guide

Percentage Change Guide: Increase, Decrease, Difference

Key output metrics

Checkout Breakdown

How to understand and use this calculator

Quick Answer: How to Calculate Percent Off

What is a Discount?

The Discount Formula

How to Calculate Discount — Step by Step

How to Calculate Sale Price & Multi-Discount Compounding

How to Find the Original Price

Excel Formulas for Shopping Discounts

Fake Discounts — Retail Deceptions to Avoid

Practice Problems

Common Discount Calculation Pitfalls

Related concepts

Frequently Asked Questions