🔄 Converting Percentages to Decimals

Turn percentages into decimals by dividing by 100!

🎯 What You'll Learn

Convert percentages to decimals using division by 100
Move decimal points correctly when converting (two places left)
Recognize common percentage-decimal equivalents for quick reference
Apply conversions in mathematical calculations and real situations

✏️ Explanation

To convert a percentage to a decimal, divide by 100 or move the decimal point two places left.

Percentage ÷ 100 = Decimal

This works because "percent" means "out of 100", so dividing by 100 converts it back to its decimal form.

🔍 Why It Matters

Converting percentages to decimals is essential for calculations and interpreting data correctly. You need this skill for mathematical operations in finance, science, statistics, and everyday problem-solving where precise calculations are required.

🧭 Percentage to Decimal Converter Chart

Follow this simple 3-step process to convert any percentage to a decimal:

Start with Percentage

75%

→

Divide by 100

75 ÷ 100

→

Get Decimal

0.75

Percentage ÷ 100 = Decimal

✏️ Worked Example: Converting 75% to a Decimal

Given: Convert 75% to a decimal

Step 1: Take the percentage value

75%

Step 2: Remove the % sign and divide by 100

75 ÷ 100 = 0.75

Alternative method: Move decimal point 2 places left

75.00 → 0.75

Answer: 75% = 0.75

🔧 Interactive Percentage Converter

Enter a percentage and watch it convert to a decimal:

→

0.75

Step-by-Step Solution:

🔢 Quick Practice

Convert these percentages to decimals:

40%

12.5%

0.5%

60%

💪 Practice Exercises

1. Convert 40% to a decimal

2. Convert 12.5% to a decimal

3. Convert 5% to a decimal

4. Convert 0.5% to a decimal

5. Convert 60% to a decimal

⚠️ Common Mistakes

Moving the decimal point the wrong direction (right instead of left)
Writing 75% as 75.0 instead of 0.75
Forgetting to remove the % sign before dividing
Not moving the decimal point exactly 2 places
Confusing percentage-to-decimal with decimal-to-percentage conversion

✨ Quick Summary

Converting percentages to decimals is straightforward: Percentage ÷ 100 = Decimal. Remember to move the decimal point 2 places to the left or simply divide by 100. This conversion is essential for accurate calculations in mathematics and real-world applications.