How do you calculate percentage?

To calculate percentage, divide the part by the whole and multiply by 100. Formula: (Part / Whole) × 100 = Percentage. For example, to find what percentage 25 is of 100: (25 / 100) × 100 = 25%.

20% of 100 is 20. To calculate: (20 ÷ 100) × 100 = 20. Or multiply: 100 × 0.20 = 20.

How do you calculate percentage increase?

To calculate percentage increase: ((New Value - Old Value) / Old Value) × 100. For example, if a price increases from $50 to $60: ((60 - 50) / 50) × 100 = 20% increase.

How do you convert percentage to decimal?

To convert percentage to decimal, divide by 100. For example: 25% = 25 ÷ 100 = 0.25, or simply move the decimal point two places to the left.

What is the difference between percentage and percentile?

Percentage expresses a number as a fraction of 100, while percentile indicates the value below which a percentage of data falls. For example, 85% means 85 out of 100, while 85th percentile means 85% of values are below this point.

Free Percentage Calculator

What is a Percentage?

A percentage is a number or ratio expressed as a fraction of 100. It's denoted using the percent sign (%). Percentages are widely used in finance, statistics, education, and everyday calculations to express proportions, changes, and comparisons.

Key uses: Calculating discounts, tips, tax rates, grade scores, interest rates, and statistical data analysis.

Formula: Percentage = (Part / Whole) × 100

What percentage is X of Y?

What is

percent of

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Calculate Percentage Increase/Decrease

Original Value

New Value

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What is X% of Y?

Percentage

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Real-World Percentage Calculator Examples

Example 1: Test Score Percentage

Problem: If you scored 45 out of 50 on a test, what's your percentage?

Solution: (45 ÷ 50) × 100 = 90%

Explanation: You got 90% of the questions correct.

Example 2: Sales Discount

Problem: A $200 item has a 25% discount. How much do you save?

Solution: 25% of $200 = $200 × 0.25 = $50 discount

Final Price: $200 - $50 = $150

Example 3: Salary Increase

Problem: Your salary increased from $50,000 to $55,000. What's the percentage increase?

Solution: ((55,000 - 50,000) ÷ 50,000) × 100 = 10%

Explanation: You received a 10% salary increase.

Example 4: Tip Calculation

Problem: Calculate a 18% tip on a $75 restaurant bill.

Solution: 18% of $75 = $75 × 0.18 = $13.50

Total Bill: $75 + $13.50 = $88.50

Example 5: Stock Price Change

Problem: A stock price dropped from $120 to $96. What's the percentage decrease?

Solution: ((96 - 120) ÷ 120) × 100 = -20%

Explanation: The stock decreased by 20%.

How to Calculate Percentages: Step-by-Step Guide

Method 1: Basic Percentage (What percent is X of Y?)

Identify the part and whole: Determine which number is the part and which is the whole.
Divide: Divide the part by the whole.
Multiply by 100: Convert to percentage by multiplying by 100.
Add % symbol: Don't forget the percentage sign!

Formula: (Part ÷ Whole) × 100 = Percentage

Method 2: Percentage Of (What is X% of Y?)

Convert percentage to decimal: Divide the percentage by 100.
Multiply: Multiply the decimal by the number.
Get result: This gives you the answer.

Formula: (Percentage ÷ 100) × Number = Result

Method 3: Percentage Change

Find the difference: Subtract old value from new value.
Divide by original: Divide the difference by the original value.
Convert to percentage: Multiply by 100.
Interpret result: Positive = increase, Negative = decrease.

Formula: ((New Value - Old Value) ÷ Old Value) × 100 = % Change

Common Percentage Calculations

Quick Percentage Conversions

10% = 0.1
25% = 0.25 (1/4)
50% = 0.5 (1/2)
75% = 0.75 (3/4)
100% = 1.0

Common Tip Percentages

15% - Standard service
18% - Good service
20% - Excellent service
22%+ - Outstanding service

Sales Tax Examples

5% - Low tax states
7-8% - Average tax
10%+ - High tax areas
0% - Tax-free states