Interactive Percentage Calculator
Use this simple tool to solve the three most common percentage problems.
1) What is X% of Y?
2) X is what percent of Y?
3) Percentage increase or decrease
Percentages are everywhere: discounts, taxes, grades, interest rates, tips, and data reports. The good news is that you do not need advanced math to work with percentages. With a regular calculator, you can solve percentage questions in seconds once you understand a few formulas.
Percentage basics in plain English
A percentage means “out of 100.” So:
- 10% means 10 out of 100 (or 0.10)
- 25% means 25 out of 100 (or 0.25)
- 150% means 150 out of 100 (or 1.50)
The most important conversion is this: percentage ÷ 100 = decimal. Once you have the decimal form, calculator work becomes easy.
The three formulas you will use most
1) Find a percentage of a number
Formula: (Percentage ÷ 100) × Number
Example: What is 20% of 350?
20 ÷ 100 = 0.20, then 0.20 × 350 = 70.
2) Find what percent one number is of another
Formula: (Part ÷ Whole) × 100
Example: 18 is what percent of 24?
18 ÷ 24 = 0.75, then 0.75 × 100 = 75%.
3) Find percentage increase/decrease
Formula: ((New − Old) ÷ Old) × 100
Example: Price goes from 50 to 65:
(65 − 50) ÷ 50 = 0.30, then 0.30 × 100 = 30% increase.
How to use a calculator to find percentage step-by-step
Method A: Calculator without a % key
This method works on every phone and basic calculator.
- Type the percentage number.
- Press ÷ 100.
- Press × and type the target number.
- Press = to get the result.
Example: 12% of 450 → 12 ÷ 100 × 450 = 54.
Method B: Calculator with a % key
Some calculators let you type percentage directly. The exact behavior can vary by model, but a common sequence is:
- Type the number (e.g., 450)
- Press ×
- Type the percent (e.g., 12)
- Press % then =
If your result looks strange, use Method A. It is universal and always reliable.
Real-life examples
Discount shopping
You see 35% off a $80 item.
- Discount amount = 35% of 80 = 28
- Final price = 80 − 28 = 52
Restaurant tip
Bill is $64, and you want to leave 18%.
- Tip = 18% of 64 = 11.52
- Total = 64 + 11.52 = 75.52
Test scores
You scored 42 out of 50.
- (42 ÷ 50) × 100 = 84%
Salary raise
Salary rises from $48,000 to $52,800.
- Change = 52,800 − 48,000 = 4,800
- (4,800 ÷ 48,000) × 100 = 10% increase
Common percentage mistakes to avoid
- Forgetting to divide by 100: 25% is 0.25, not 25.
- Mixing “of” and “is what percent of”: These are different formulas.
- Using the wrong base number: In percent change, divide by the original (old) value.
- Rounding too early: Keep extra decimal places until the final step.
Quick mental shortcuts
Even without a calculator, these tricks help:
- 10% = move decimal one place left (10% of 250 is 25)
- 5% = half of 10%
- 1% = divide by 100
- 25% = one quarter
- 50% = half
Practice problems
Try these and verify with the calculator above:
- What is 8% of 375?
- 72 is what percent of 90?
- A value drops from 240 to 180. What is the percent decrease?
- Find the final price of a $120 item after a 15% discount.
Answers: 30, 80%, 25% decrease, and $102.
Final takeaway
If you remember just one thing, remember this: percentages become easy when you convert them to decimals first. Use the formulas in this guide, check your steps, and practice with real-world examples like discounts, tips, and score calculations. After a few tries, percentage math will feel automatic.