Decimal to Percentage: Formula, Rules and Examples

Decimal to Percentage conversion changes a decimal number into an equivalent value written with the percent sign. The standard method is to multiply the decimal by 100 and attach %. This page explains the formula, decimal-point movement, values greater than 1, and common decimal percentage calculations with examples.

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What Is Decimal to Percentage Conversion?

To convert a decimal into a percentage, multiply it by 100 and write the percent sign (%) after the result.

The conversion follows 1 = 100%. Therefore, 0.72 = 0.72 × 100% = 72%. Multiplication by 100 moves the decimal point two places to the right. If necessary, add zeros before or after the decimal point while shifting.

Decimal to Percentage Formula & Tricks

Important Formulas

Decimal to percentage formula
Percentage = Decimal × 100%

Multiply the given decimal by 100 and attach the percent sign to obtain its equivalent percentage.

Reverse percentage conversion
Decimal = Percentage ÷ 100

To change a percentage into a decimal, remove the percent sign and divide its numerical value by 100.

Quick Tricks

Move the decimal point two places right

Multiplication by 100 shifts the decimal point two places to the right. Attach % after the resulting number.

Example: 0.375 becomes 37.5%, because 0.375 × 100 = 37.5.
Use zeros when the decimal has fewer digits

Treat a decimal such as 0.6 as 0.600 when shifting the point two places. This avoids placing the decimal incorrectly.

Example: 0.6 = 0.600, so 0.6 × 100 = 60%; hence 0.6 = 60%.
Check values greater than one

A decimal greater than 1 converts to a percentage greater than 100%, because 1 itself equals 100%.

Example: 1.35 × 100% = 135%.

Decimal to Percentage Concepts

Converting decimals less than one

A decimal between 0 and 1 becomes a percentage between 0% and 100% when multiplied by 100.

Apply Percentage = Decimal × 100%. For example, 0.48 × 100% = 48%. The digits shift two places to the right, so 0.48 becomes 48.

Example: 0.064 = 0.064 × 100% = 6.4%.

Converting decimals greater than one

A decimal greater than 1 gives a percentage greater than 100%.

Since 1 = 100%, values above 1 represent more than the whole quantity. Multiply the decimal by 100 without changing the sign or value otherwise.

Example: 2.4 = 2.4 × 100% = 240%.

Converting decimals with trailing or leading zeros

Zeros can be added to the right of a decimal without changing its value, which helps apply the two-place shift correctly.

For 0.7, write 0.700 before shifting the decimal point: 0.700 × 100 = 70. For 0.005, shifting two places gives 0.5, so 0.005 = 0.5%.

Example: 0.09 = 9%, while 0.009 = 0.9%; the extra zero changes the percentage.

Fractional and recurring decimals

A fractional or recurring decimal can first be written as a decimal and then multiplied by 100.

For a recurring decimal, retain the required precision or write the exact repeating percentage when appropriate. For example, 1/3 = 0.333... and therefore 1/3 × 100% = 33.333...%.

Example: 0.125 = 12.5%, because 0.125 × 100 = 12.5.

Decimal to Percentage Video Lessons

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13 Lessons
Lesson 1 of 13 Quick Revision

Decimal Fraction Percent Conversion

Learn how to convert decimals into fractions and percentages, and change fractions or percentages back into equivalent decimal forms using clear, step-by-step methods.

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Practice Decimal to Percentage Questions

Practise published questions related to this topic.

11/(6 + √3) + 1/(6 - √3) = ?→ 2(√3 + √2) + 1/((√3 - √2)) = ?→ 3If 5^(x+y) = 3125 and 3^(3x-y) = 2187 , then the value of 41x - 32y is:→ 4Evaluate: √(250 + √(19 + √289)) + √(620 + √(11 + √196))→ 5An officer checks the cost ratio: √18 ÷ √2 .Simplify.→ 6Simplify: ((6⁴ × 4⁵ × 6⁵))/((6² × 4² × 6³))→ 7(√98 - √147)/(√18 - √27) = ?→ 8Find the value of m which satisfies (26/7)⁵ × (7/26)¹¹ × (26/7)¹⁹ = (7/26)^(9m+17)→ 9Simplify: ((3² × 9)³)/(27² × 3⁴)→ 10Find the value of x in the following expression. (0.49)⁴ × (0.343)⁴ ÷ (0.2401)⁴ = (7 ÷ 10)^(x+2)→

Decimal to Percentage Quick Quiz

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Quick Revision Notes

Decimal to Percentage Quick Revision

Use multiplication by 100 and shift the decimal point two places to the right.

  • Decimal to percentage: Decimal × 100%.
  • The decimal point moves two places to the right.
  • 0.01 = 1%, 0.1 = 10%, and 1 = 100%.
  • A decimal less than 1 gives a percentage less than 100%.
  • A decimal greater than 1 gives a percentage greater than 100%.
  • Zeros may be added to the right of a decimal before shifting.
  • To convert a percentage back to a decimal, divide by 100.

Decimal to Percentage FAQs

What is the formula for converting a decimal to a percentage?

Percentage = Decimal × 100%. For example, 0.32 × 100% = 32%.

How do you convert 0.045 into a percentage?

Multiply by 100: 0.045 × 100 = 4.5. Therefore, 0.045 = 4.5%.

What percentage is 1.25?

1.25 × 100% = 125%. Thus, 1.25 is equal to 125%.

How do you convert 0.006 to a percentage?

0.006 × 100 = 0.6, so 0.006 = 0.6%.

Is 0.5 equal to 0.5%?

No. 0.5 as a percentage is 50%, because 0.5 × 100 = 50. However, 0.5% as a decimal is 0.005.

How do you convert 0.333... into a percentage?

Multiply by 100: 0.333... × 100 = 33.333...%. This is the recurring percentage equivalent of 1/3.

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