Percentage Calculator
Solve the most common percentage problems in one page.
1. What is X% of Y?
2. X is what % of Y?
3. % Increase / Decrease
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Percentage Table for 1500
What is a Percentage Calculator?
A percentage calculator solves the three most common percentage problems in one place: finding a percentage of a number, finding what percentage one number is of another, and finding the percentage increase or decrease between two numbers. Students use it for marks, shopkeepers for discounts and profit, and businesses for growth and commission.
The three calculators
| Calculator | Formula | Example | Useful for |
|---|---|---|---|
| 1. What is X% of Y? | Value = (Percentage × Whole) / 100 |
20% of 1500 = 300 | Discount, commission, tax amount |
| 2. X is what % of Y? | Percentage = (Part / Whole) × 100 |
300 is 20% of 1500 | Marks, progress, share of total |
| 3. % Increase / Decrease | % Change = ((New − Old) / Old) × 100 |
1000 to 1500 = +50% | Price change, growth, profit and loss |
How to Use the Percentage Calculator
- Pick the calculator that matches your question.
- Enter your two numbers. For example, enter 20 and 1500 in "What is X% of Y?".
- Click Calculate. The answer appears instantly, with no page reload.
- In the increase or decrease calculator, the result also shows whether the change is an increase or a decrease, and the difference between the two numbers.
Quick Percentage Tricks
| Percentage | Shortcut | Example: of 1500 |
|---|---|---|
| 1% | Divide by 100 | 15 |
| 5% | Half of 10% | 75 |
| 10% | Divide by 10 | 150 |
| 15% | 10% + 5% | 225 |
| 20% | Double of 10% | 300 |
| 25% | Divide by 4 | 375 |
| 50% | Divide by 2 | 750 |
| 75% | Three quarters | 1,125 |
Percentage Examples for Daily Life
| Situation | Calculator | Input | Result |
|---|---|---|---|
| Discount amount | 1. X% of Y | 20% of 1500 | Discount ₹300, so you pay ₹1,200 |
| Marks percentage | 2. X is what % of Y | 432 out of 500 | 86.4% |
| Price increase | 3. % Change | 1000 to 1500 | 50% increase |
| Price decrease | 3. % Change | 1500 to 1000 | 33.33% decrease |
| Profit percentage | 3. % Change (cost price to selling price) | Cost ₹800, sold ₹1,000 | 25% profit |
Notice that a 50% increase followed by a 50% decrease does not bring you back to the start. 1000 becomes 1500, and 1500 becomes 750. A percentage always depends on the starting value.
Common Percentage Mistakes
| Mistake | Wrong | Correct |
|---|---|---|
| Adding two discounts | 20% + 10% = 30% off ₹1,000, so ₹700 | 20% off gives ₹800, then 10% off ₹800 gives ₹720. The total discount is 28%. |
| Removing a tax from the final price | ₹1,180 − 18% of ₹1,180 = ₹967.60 | ₹1,180 ÷ 1.18 = ₹1,000. For tax calculations use our GST Calculator. The 18% is only an example rate. |
| Mixing up percent and percentage points | A rate going from 8% to 10% is a "10% rise" | It is a rise of 2 percentage points, which is a 25% relative increase (2 ÷ 8). |
| Finding the original price after a discount | Add 20% of ₹1,200 to ₹1,200 | ₹1,200 ÷ 0.80 = ₹1,500. |
Features
- Three calculators on one page.
- Instant results with no page reload.
- Shows increase or decrease along with the difference.
- Percentage table for the number you enter.
- Runs in your browser. Your numbers are not sent to our server.
- Free, with no signup.
Frequently Asked Questions
How do I calculate a percentage?
To find what percentage a part is of a whole, use (Part ÷ Whole) × 100. For example, 300 out of 1500 is (300 ÷ 1500) × 100 = 20%.
How do I find X% of a number?
Use (Percentage × Whole) ÷ 100. For example, 20% of 1500 is (20 × 1500) ÷ 100 = 300.
How do I calculate percentage increase or decrease?
Use ((New − Old) ÷ Old) × 100. A positive result is an increase and a negative result is a decrease. For example, from 1000 to 1500 is ((1500 − 1000) ÷ 1000) × 100 = 50% increase. From 1500 to 1000 is a 33.33% decrease.
How do I calculate a discount and the final price?
First find the discount amount with "What is X% of Y?". For a ₹1,500 item with a 20% discount, the discount is ₹300. The final price is ₹1,500 − ₹300 = ₹1,200.
How do I find the original price before a discount?
Divide the final price by (1 − discount rate). If you paid ₹1,200 after a 20% discount, the original price is ₹1,200 ÷ 0.80 = ₹1,500.
Why can't I calculate a percentage change from zero?
The formula divides by the old value, and dividing by zero is not defined. If the starting value is 0, a percentage increase cannot be calculated.
What is the difference between percent and percentage points?
If a rate rises from 8% to 10%, it has increased by 2 percentage points. In relative terms that is a 25% increase, because 2 is 25% of 8.
Is the percentage calculator free and private?
Yes. It is free, needs no signup, and runs in your browser. Your numbers are not sent to our server.