How do I calculate a percentage price increase?

Multiply the original price by one plus the increase as a decimal. For $80 and a 25% increase, $80 × 1.25 = $100. The increase in dollars is $20. To find the percentage between two prices, subtract the original from the new price, divide by the original and multiply by 100.

Why does a 25% increase need only a 20% cut to undo?

Because the cut is applied to the larger new price. After a 25% increase, $80 becomes $100, and a 20% cut of $100 is $20, which brings it back to $80. The bigger the increase, the larger the gap: after a 100% increase a 50% cut is needed.

How do yearly increases compound?

Each year the increase applies to the price that already includes the previous increases, so the total is more than the simple sum. Three yearly increases of 3% add up to 1.03 × 1.03 × 1.03 − 1 = 9.27%, not 9%.

How do I find the original price after an increase?

Divide the new price by one plus the increase as a decimal. If a price is $125 after a 25% increase, the original was $125 ÷ 1.25 = $100. Do not subtract 25% from $125, because the increase was calculated on the smaller original price.

What is the difference between percent and percentage points?

A move from a 4% rate to a 5% rate is a rise of one percentage point but a 25% increase in the rate. Percentage points describe the arithmetic difference of two percentages, while percent describes the relative change.

Is a price increase the same as inflation?

Inflation is the average rise in prices across many goods and services, measured with the Consumer Price Index. A price increase is a change in one price. You can compare an increase with inflation to see whether it is a real increase or simply keeps up with rising prices.

📊 Business & Ecommerce

Price Increase Calculator · Percent Increase, New Price and Compounding

Raising a price by a percentage sounds simple, but the numbers behave in ways that surprise people. A 25% increase needs only a 20% cut to undo it, a yearly 3% increase adds up to more than 3 times 3, and finding the original price after an increase means dividing, not subtracting. This calculator answers the three questions people ask most about price changes.

Use it to find the new price when you know the original and the percent increase, and repeat the increase for several years to see how a yearly rent increase, a subscription price rise or a price list update compounds. Switch to the second mode to find the percentage change between two prices, which also shows the change needed to return to the original. Use the third mode to work backwards from a price you paid to what it was before the increase.

For business owners, a price increase is one of the strongest levers on profit: because most costs stay the same, nearly all of the extra revenue becomes profit. The same math helps tenants and employees: it shows what a 5% rent increase costs per month and what a 4% raise is worth in dollars. Remember that percentages are relative, so always check the dollar amount as well.

Detailed Breakdown

4 metrics

PRIMARY RESULT

$100.00

New Price

Increase in Dollars

$20.00

Total Increase

25.0%

Cut Needed to Return to the Original Price

20.0%

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exploreReal-World Scenarios

When to Use This Calculator

Everyday financial situations where this tool gives you fast, accurate clarity:

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Set a New Price

Find the price after a percent increase and see how many dollars it adds to each sale.

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Check a Rent Increase

See what a percent increase on your rent costs each month and over a year.

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Project Yearly Increases

Repeat the increase over several years to see how a price or a bill compounds.

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Find the Original Price

Work backwards from a price you paid to what it was before the increase.

Calculation Formula

Standard Method

New Price = Original Price × (1 + Increase %) Repeated every year for n years: New Price = Original Price × (1 + Increase %)^n Total Increase = (1 + Increase %)^n − 1 Increase in Dollars = New Price − Original Price Cut Needed to Return to the Original Price = 1 − 1 ÷ (1 + Increase %)^n Find the percentage change: Change % = (New − Original) ÷ Original × 100. A negative result is a decrease, and the change needed to return to the original is Original ÷ New − 1. Find the original price: Original = New Price ÷ (1 + Increase %). The increase is limited to a range of −99% to 1,000% and the repeat to 100 years so the results stay meaningful.

Benchmark Example:

An item priced at $80 with a 25% increase: • New price: $80 × 1.25 = $100.00 • Increase: $20.00 • To get back to $80 the price must be cut by $20 ÷ $100 = 20%, not 25% A yearly increase compounds: $100 raised by 3% every year becomes $103.00 after one year, $109.27 after three years (a total of 9.27%, not 9%), $115.93 after five years and $134.39 after ten. Everyday cases: rent of $1,800 with a 5% increase is $1,890 a month, an extra $1,080 a year; a $60,000 salary with a 4% raise is $62,400. Working backwards: a price of $125 after a 25% increase was $125 ÷ 1.25 = $100. And from $100 down to $80 is a 20% decrease, which needs a 25% increase to undo.

Frequently Asked Questions

6 answers

Applicable Laws & Regulatory Standards

Federal Trade Commission & Department of Justice

Official Legal Reference

FTC Act § 5 — 15 U.S.C. § 45 (Unfair or Deceptive Acts or Practices)

Prohibits deceptive pricing practices, including advertising a price that is not the price a customer will actually pay or hiding charges that change the total.

Restore Online Shoppers' Confidence Act (ROSCA) — 15 U.S.C. §§ 8401–8405

Requires sellers of online subscriptions and recurring charges to disclose the terms clearly and to get the customer's consent, which applies to how price changes on a subscription are presented.

Robinson-Patman Act — 15 U.S.C. § 13 (Price Discrimination)

Restricts charging competing business buyers different prices for the same goods when it harms competition, a consideration for sellers who raise prices for some buyers and not others.

Legal citations and statutes are provided for consumer transparency, analytical validation, and educational reference under U.S. consumer financial regulations. This tool is not a substitute for formal legal, accounting, or tax counsel.

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