Percentage & Discount Calculator

Pick the question you are trying to answer, enter your numbers and get the result with the formula shown, including sale prices with extra discounts and tax.

Percentage calculators

What is X% of Y?

Enter two numbers 

X is what percent of Y?

Enter two numbers 

Percentage increase or decrease

Enter two numbers 

Add or subtract a percentage

Enter a number and a percentage 

X is P% of what number?

Enter two numbers 

Simplify a ratio

Enter two positive numbers 

Discount & sale price

Enter a price and a discount 

How to Use the Percentage Calculator on FreeHandyly

The FreeHandyly Percentage Calculator groups the seven most common percentage and discount questions into separate panels, so you can pick the one that matches your problem. Results appear instantly as you type, with the formula underneath so you can see exactly how the answer was reached.

  1. What is X% of Y? Enter the percentage and the number. Use it for discounts, tips, taxes and commissions. Example: 15% of 48 is 7.2.
  2. X is what percent of Y? Enter the part and the whole. Example: 45 out of 60 is 75%, which is handy for test scores and progress tracking.
  3. Percentage increase or decrease. Enter a starting value and an ending value. Going from 50 to 65 is a 30% increase, and going from 200 to 150 is a 25% decrease.
  4. Add or subtract a percentage. Enter a base amount and a percentage, then choose increase or decrease. A 20% discount on 80 gives 64.
  5. Discount and sale price. Enter the original price and a discount. Add a second discount for stacked offers and a tax rate to see the final amount you pay. A 25% discount on 120 gives 90, and 10% tax on top makes 99.
  6. Find the original number. If you know that a value is a given percentage of an unknown total, this panel works backwards to find the total.
  7. Simplify a ratio. Enter two numbers to reduce them to the simplest form. 18:24 becomes 3:4, and the panel also shows the decimal and percentage share.

The formulas behind the results

  • Percentage of a number: (percentage ÷ 100) × number
  • Part as a percentage: (part ÷ whole) × 100
  • Percentage change: ((new − old) ÷ |old|) × 100
  • Original value: part ÷ (percentage ÷ 100)
  • Simplified ratio: divide both numbers by their greatest common divisor
  • Sale price: price × (1 − discount) × (1 − extra discount) × (1 + tax)

Why This Tool is Helpful

Percentages shape everyday decisions, yet small mistakes are easy to make. Many people mix up the base value, add percentages that should be multiplied, or confuse a percentage with a percentage point. A calculator that shows its working helps you check your own reasoning, not just copy an answer.

  • Shoppers can compare sale prices, stacked discounts and the real saving on a deal.
  • Business owners can calculate margins, markups, growth rates and month-over-month changes in sales or traffic.
  • Students and teachers can verify homework, grade conversions and exam scores.
  • Freelancers and employees can work out raises, commission splits and tax or tip amounts.
  • Cooks and makers can scale recipes and mixtures using simple ratios.

Common percentage traps to avoid

A percentage increase followed by the same percentage decrease does not return you to the start. A price of 100 that rises by 25% becomes 125, and a 25% drop from there gives 93.75, not 100. Likewise, a price that falls by 20% must rise by 25% to recover. The reason is that each percentage applies to a different base. When you compare two changes, always check which number the percentage is measured against, and use the percentage change panel when you need to compare an old value with a new one.

Frequently Asked Questions (FAQs)

How do I calculate a percentage of a number?

Divide the percentage by 100 and multiply by the number. For example, 25% of 80 is 0.25 x 80, which equals 20.

What is the formula for percentage change?

Subtract the old value from the new value, divide by the old value, then multiply by 100. A positive result is an increase and a negative result is a decrease.

How do two discounts combine?

They multiply rather than add. A 20% discount followed by a further 10% discount takes 28% off in total, not 30%, because the second discount applies to the already reduced price.

What is the difference between percent and percentage points?

Percent describes a relative change, while percentage points describe the arithmetic gap between two percentages. If an interest rate moves from 4% to 5%, it rises by one percentage point, which is a 25% relative increase.

Why can't I calculate percentage change from zero?

The formula divides by the starting value, and division by zero is undefined. The calculator shows a message instead of a misleading number.

Is the calculator free and private?

Yes. It is free with no signup, and every calculation runs in your browser, so the numbers you enter are never sent to a server.

How do I calculate a discount and the sale price?

Sale price equals the original price multiplied by (1 minus the discount divided by 100). For a 20% discount on 50, the sale price is 40.

What is 15 percent of 200?

15 percent of 200 is 30. Multiply 200 by 0.15, or use the first panel of the calculator to see the answer and the formula.

Related tools

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