We have 9 percentage calculators gathered in one place, each designed for a different type of problem. Identify which one fits your situation, fill in the fields and click Calculate to get the result instantly.
Percentage Calculator
Calculation 1 — Value of X% of a number
Calculation 2 — Percentage of X relative to Y
Calculation 3 — Growth rate between two values
Calculation 4 — Reduction rate between two values
Calculation 5 — Proportion of X over Y as a percentage
Calculation 6 — Value after percentage increase
Calculation 7 — Value after percentage discount
Calculation 8 — Original value before the increase
Calculation 9 — Original value before the reduction
How to use the percentage calculator
Each of the 9 calculators below solves a specific type of percentage problem. Identify which one fits your situation:
- Calculation 1: Apply a percentage to a number and find the corresponding value. Ex: What is 15% of $200?
- Calculation 2: Determine what percentage fraction one number represents of a total. Ex: $30 is what percentage of $150?
- Calculation 3: Measure the relative growth between an initial and a final value. Ex: from $2,000 to $2,400, what was the percentage increase?
- Calculation 4: Measure the relative drop between an initial and a final value. Ex: from $500 to $400, what was the percentage decrease?
- Calculation 5: Calculate the percentage ratio of X divided by Y. Ex: 40 divided by 160 represents how many percent?
- Calculation 6: Add a percentage to a base value and get the adjusted total. Ex: $1,000 with an 8% increase results in how much?
- Calculation 7: Apply a discount and find the final price to pay. Ex: $250 with 10% off comes to how much?
- Calculation 8: Find the value that existed before a percentage increase was applied. Ex: after a 20% increase the price became $120 — what was the original?
- Calculation 9: Find the value that existed before a percentage discount was applied. Ex: after a 25% discount the price became $150 — what was the original?
Frequently asked questions about percentages
What is a percentage?
A percentage is a centesimal ratio represented by the symbol % that indicates how many parts of 100 are being considered. The word comes from the Latin per centum (per hundred). For example, 25% means 25 parts out of every 100, equivalent to the fraction 25/100 = 0.25. It is widely used in discounts, interest rates, statistics and value comparisons.
How do you calculate the percentage of a value?
To calculate X% of a value Y, use the formula:
Result = (X ÷ 100) × Y
Example: What is 20% of $500?
Result = (20 ÷ 100) × 500 = 0.20 × 500 = $100.00
Use Calculation 1 of the calculator above for this.
How do you calculate a percentage discount?
To apply a discount of X% to a price Y, use the formula:
Final price = Y × (1 − X ÷ 100)
Example: A product costs $200.00 and has a 15% discount.
Final price = 200 × (1 − 0.15) = 200 × 0.85 = $170.00
Use Calculation 7 of the calculator to get the discounted value.
How do you calculate the percentage increase between two values?
To calculate the percentage increase from value A to value B, use:
Increase % = ((B − A) ÷ A) × 100
Example: A salary went from $2,000 to $2,500.
Increase % = ((2,500 − 2,000) ÷ 2,000) × 100 = (500 ÷ 2,000) × 100 =
25%
Use Calculation 3 of the calculator for this type of problem.
How do you find the original value before the discount?
If you know the final price after a discount of X% and want to find the original price, use:
Original value = Final value ÷ (1 − X ÷ 100)
Example: After a 20% discount, a product costs $160.00.
What was the original price?
Original value = 160 ÷ (1 − 0.20) = 160 ÷ 0.80 = $200.00
Use Calculation 9 of the calculator to solve this problem quickly.
How do you convert a percentage to a decimal?
To convert a percentage to a decimal number, simply divide by 100 (or move the decimal point two places to the left).
- 25% → 25 ÷ 100 = 0.25
- 8.5% → 8.5 ÷ 100 = 0.085
- 100% → 100 ÷ 100 = 1.00
- 0.5% → 0.5 ÷ 100 = 0.005
For the reverse (decimal to percentage), multiply by 100: 0.35 × 100 = 35%.
Can percentages be added directly?
It depends on the context. Adding simple percentages that refer to the same base is valid. For example, if 30% of the total are women and 70% are men, 30% + 70% = 100%.
However, you cannot directly add percentages from different bases. If a product rises 10% and then falls 10%, the final price does not return to the original — a 10% increase followed by a 10% decrease results in −1% of the initial price. For these cases, multiply the factors: 1.10 × 0.90 = 0.99 (a 1% drop).
What is the difference between percentage and percentage point?
Percentage expresses a proportion relative to the current value, while a percentage point (pp) represents the absolute difference between two percentages.
Example: An interest rate went from 10% to 12%. That is an increase of 2 percentage points (12 − 10 = 2 pp), but it represents a relative increase of 20% ((12 − 10) ÷ 10 × 100 = 20%). Confusing the two is a very common mistake in news and financial analyses.
Practical percentage examples
| Situation | Calculation used | Example |
|---|---|---|
| Shopping discount | Calculation 7 | $300 with 20% off = $240 |
| Salary raise | Calculation 6 | $2,000 + 5% = $2,100 |
| Restaurant tip | Calculation 1 | 10% of $85 = $8.50 |
| Price change | Calculation 3 or 4 | From $50 to $60 = +20% |
| Price before discount | Calculation 9 | $170 after 15% off → original $200 |
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