Price Difference Calculator

Q: What is the difference between percent change and percent difference between two prices?

They use different starting points. Percent change divides the gap by the original price. Use it when one price came first, like an old price and a sale price. Percent difference divides the gap by the average of the two prices. Use it when neither price is the starting one, like two stores selling the same item. Example: $200 and $150. The gap is $50. Percent change is 50 ÷ 200 = 25%. Percent difference is 50 ÷ 175 = 28.57%.

Updated Sep 7, 2026 By Jehan Wadia

Introduction

The Price Difference Calculator shows how much two prices differ, in both dollars and percent. Type in the old price and the new price, and you get the savings amount, the percent change, and whether the price went up or down.

That helps when you shop. Use it to check a sale, compare two stores, or see if a price hike is big or small. You can also flip it around: enter one price and a percent, and the tool finds the new price for you.

You can also pick your currency, read the step-by-step math, and compare up to 10 prices at once in a table. The best deal gets marked for you, so you know where to buy.

How to use our Price Difference Calculator

Type in two prices and pick your currency. The calculator shows the price difference, the percent change, the multiplier, and how each price compares to the other, plus a chart and step-by-step math.

Compare Two Prices tab: Use this tab when you already know both prices.

Original Price (Price 1): Enter the old, listed, or "before" price. It must be more than 0.

New Price (Price 2): Enter the current, sale, or "after" price. It must be more than 0.

Reverse: Find the New Price tab: Use this tab when you know the old price and the percent change, but not the new price.

Original Price: Enter the starting price you want to change.

Change Direction: Pick "Decrease by" for a sale or price drop, or "Increase by" for a price rise.

Desired Percentage Change: Enter the percent as a plain number, like 15 for 15%. A decrease cannot be more than 100%.

Currency Symbol: Choose USD, EUR, GBP, JPY, CAD, or AUD. Pick "Custom symbol" to type your own symbol, up to 3 characters.

Compare Multiple Prices table: Add a Label (like a store name), the Original Price, and the New Price for each row. Click "Add Row" for more rows, up to 10. The row with the biggest price drop is marked as the Best Deal.

Calculate and Reset: Results update as you type, but you can click Calculate any time. Click Reset to start over with the sample prices.

What Is a Price Difference?

A price difference is the gap between two prices. If a jacket costs $200 at one store and $150 at another, the price difference is $50. That gap tells you how much money you save or spend extra when you pick one price over the other.

Price Difference vs. Percentage Change

The dollar gap alone can trick you. Saving $50 on a $200 item is a big deal. Saving $50 on a $2,000 item is not. That is why shoppers also look at the percentage change, which shows the size of the gap compared to the starting price.

Price difference: New price − Original price (the plain dollar gap)
Percentage change: (New price − Original price) ÷ Original price × 100

A negative percent means the price went down (a discount). A positive percent means the price went up (a markup or price hike).

What the Multiplier Means

The multiplier is the new price divided by the old price. A multiplier of 0.75 means you now pay 75% of the old price, so you save 25%. A multiplier of 1.2 means the price is 1.2 times higher, a 20% increase. Multipliers help most when a price changes more than once.

Why the Starting Price Matters

Percentages always point back to the original price. A drop from $100 to $80 is a 20% cut. But going back up from $80 to $100 is a 25% rise, not 20%. The dollar gap is the same both ways, but the percent is not, because the starting number changed.

Where People Use Price Differences

Shopping deals: Check if a "50% off" sale is really the best price.
Store comparison: See which shop or website gives the biggest savings on the same item.
Price tracking: Watch how much an item has gone up or down over time.
Budgeting: Measure how much more you pay for gas, food, or rent than last year.
Selling: Set a markup and see the final price customers will pay.

Quick Shopping Tips

Compare the same item, same size, and same condition. Add shipping, tax, and fees before you compare, since a low sticker price can end up costing more. Watch out for fake "original" prices that were never real. And remember: a discount only saves money if you were going to buy the item anyway.

Formulas used

Price Difference (absolute)

\Delta P = \left| P_{2} - P_{1} \right|

Percentage Change

\%\ \text{change} = \frac{P_{2} - P_{1}}{P_{1}} \times 100

Multiplier (Factor)

f = \frac{P_{2}}{P_{1}}

Price 2 as a Percentage of Price 1

\frac{P_{2}}{P_{1}} \times 100

Price 1 as a Percentage of Price 2

\frac{P_{1}}{P_{2}} \times 100

Reverse: New Price from a Percentage Change

P_{2} = P_{1} \times \left( 1 + \frac{r}{100} \right)

Frequently asked questions

What is the difference between percent change and percent difference between two prices?

They use different starting points.

Percent change divides the gap by the original price. Use it when one price came first, like an old price and a sale price.
Percent difference divides the gap by the average of the two prices. Use it when neither price is the starting one, like two stores selling the same item.

Example: $200 and $150. The gap is $50. Percent change is 50 ÷ 200 = 25%. Percent difference is 50 ÷ 175 = 28.57%.

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

Divide the sale price by (1 minus the discount as a decimal).

Original = Sale price ÷ (1 − discount)

Example: an item costs $150 after 25% off. That is 150 ÷ 0.75 = $200.

For a price increase, divide instead by (1 + the percent). A price of $110 after a 10% hike started at 110 ÷ 1.10 = $100.

Is a percent-off coupon or a dollar-off coupon better?

It depends on the price of the item. Find the break-even point by dividing the dollar coupon by the percent.

Example: $10 off vs 10% off. They tie at $100. Below $100, take the $10 off. Above $100, take the 10% off.

On a $60 item, $10 off saves $10, but 10% off saves only $6.

Does a bigger percentage off always mean a lower final price?

No. The percent only matters next to the starting price.

Example: 40% off a $100 item leaves you paying $60. But 20% off a $70 item leaves you paying $56. The smaller discount wins because the starting price was lower.

Always compare the final price you pay, not the size of the discount.

Is a discount taken before or after sales tax?

In the United States, stores take the discount off the item price first, then charge tax on the lower amount. So you save on the tax too.

Example: a $200 jacket at 25% off costs $150. With 8% tax, you pay $162, not $166.

In countries where tax is already built into the sticker price, the percent off is taken from that full shelf price.

Is 50% off better than buy one, get one free?

Buy one, get one free is the same as 50% off, but only if you buy two items. If you need just one, plain 50% off saves you more money right now.

Watch the wording. "Buy one, get one 50% off" is really only 25% off your total, not 50%.

How do I compare prices when the package sizes are different?

Use the unit price. Divide the price by the amount you get.

Example: 32 oz for $6.40 is $0.20 per ounce. 48 oz for $8.64 is $0.18 per ounce. The bigger jug is the better deal.

Always compare the same unit, like per ounce, per pound, or per sheet. The bigger box is not always cheaper per unit.

How do I quickly work out 25% off in my head?

Take half, then half again. That gives you 25%, and you subtract it.

Example: 25% off $60. Half of 60 is 30, half of 30 is 15. You save $15 and pay $45.

Other quick tricks: 10% is just moving the decimal one spot left. 20% is that doubled. 50% is half.

Can I get money back if the price drops after I buy something?

Often yes. Many stores offer a price adjustment if the item goes on sale soon after you buy it. Windows are usually 7 to 30 days, and you need your receipt.

Some credit cards used to cover this too, but most have dropped the benefit. Check the store's policy page before you buy.

What does MSRP mean, and is it the real price?

MSRP means Manufacturer's Suggested Retail Price. It is the price the maker recommends, not what stores must charge.

Many items sell below MSRP every day, so a "discount off MSRP" can look bigger than it is. Compare the sale price to what other stores actually charge right now.

How do I compare prices listed in two different currencies?

Convert both prices to one currency using today's exchange rate, then compare.

Also add the extra costs: many cards charge about 3% in foreign transaction fees, and imports can add shipping, duty, and customs charges. A cheaper sticker price abroad can end up costing more.

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