Percentage Converter
Convert between percentages, decimals, fractions, and ratios easily.
Convert a decimal to a percentage.
Convert a percentage to a decimal.
Convert a percentage to a fraction.
Convert a fraction to a percentage.
Express a percentage as a ratio.
Convert a ratio to a percentage.
Percentage Converter Guide
Percent, decimal, fraction, and ratio are different ways of writing the same mathematical relationship. A discount may be written as a percent, a probability as a decimal, a test score as a fraction, or a comparison as a ratio.
Learning how to convert between these forms makes it easier to interpret school results, financial data, survey results, and everyday numerical comparisons.
This guide explains the most common percentage conversions, shows real-life examples, and walks through each method step by step.
Why Percentage Conversions Matter
The same value often appears in more than one format depending on the context.
- Percent is often used in discounts, tax, and growth rates.
- Decimal is commonly used in formulas, finance, and probability.
- Fraction is common in test scores, portions, and classroom math.
- Ratio is useful when comparing two quantities directly.
Converting between these forms helps you move from one context to another without changing the meaning of the value.
Learn Common Percentage Conversions
Decimal → Percent
Try it →Decimals are often used in statistics, spreadsheets, probability, and finance. Converting a decimal to a percent makes the value easier to read and compare.
Percent = Decimal × 100 Multiply the decimal by 100, or move the decimal point two places to the right.
Real-life example
A student completed 0.85 of an assignment. What percent of the assignment is finished?
Step 1: Start with the decimal value.
0.85Step 2: Multiply by 100.
0.85 × 100 = 85Answer: The student completed 85%.
Try calculating decimal conversions using the Decimal → Percent calculator.
A decimal can also describe how much one value changed relative to another. For example, a decimal change of 0.12 can be written as a 12% change.
To measure how much a value increased or decreased, use the Percentage Increase / Decrease calculator.
Percent → Decimal
Try it →Percent values are often converted to decimals before they can be used inside formulas. This is common in finance, tax calculations, discounts, and growth models.
Decimal = Percent ÷ 100 Divide the percent by 100, or move the decimal point two places to the left.
Real-life example
A savings account offers an interest rate of 6%. What is this rate written as a decimal?
Step 1: Start with the percent value.
6%Step 2: Divide by 100.
6 ÷ 100 = 0.06Answer: The decimal form of 6% is 0.06.
Try the Percent → Decimal calculator.
When several percentage changes happen over time, each percentage is usually converted to decimal form before the changes are applied step by step.
You can explore this with the Stacked Percentage Change calculator.
Percent → Fraction
Try it →Because percent means per hundred, a percentage can be written as a fraction with denominator 100, then simplified.
Fraction = Percent / 100 Real-life example
A store offers a 25% discount on an item. What fraction represents this discount?
Step 1: Write the percent as a fraction over 100.
25 / 100Step 2: Simplify the fraction.
25 / 100 = 1 / 4Answer: The discount equals 1/4.
Use the Percent → Fraction calculator.
Once a percentage is written as a fraction, it becomes easier to compare part-to-whole relationships such as class scores or survey results.
To find what percent one number is of another, use the What Percent calculator.
Fraction → Percent
Try it →Fractions describe parts of a whole. Converting a fraction to a percent makes the relationship easier to understand and compare.
Percent = (Numerator ÷ Denominator) × 100 Real-life example
A student answered 15 out of 20 questions correctly. What percent of the answers were correct?
Step 1: Write the fraction.
15 / 20Step 2: Convert the fraction to decimal form.
15 ÷ 20 = 0.75Step 3: Multiply by 100.
0.75 × 100 = 75Answer: The score equals 75%.
Try the Fraction → Percent calculator.
A fraction such as 15/20 can also be interpreted as a part compared with a total.
To measure that relationship directly in percent form, explore the What Percent calculator.
Percent → Ratio
Try it →A percent can also be written as a ratio by comparing the value to 100, then simplifying the numbers.
Ratio = Percent : 100 Real-life example
If 20% of students play basketball, what is this expressed as a ratio?
Step 1: Write the percent as a ratio to 100.
20 : 100Step 2: Simplify the ratio.
20 : 100 = 1 : 5Answer: The ratio is 1 : 5.
Use the Percent → Ratio calculator.
Ratios are often used when comparing two groups directly, while percentages make comparisons easier to understand in reports and summaries.
If you want to compare two values using a symmetric percentage method, explore the Percent Difference calculator.
Ratio → Percent
Try it →Ratios describe relationships between quantities. Converting a ratio to a percent makes the comparison easier to interpret in reports, surveys, and classroom statistics.
Percent = (A ÷ B) × 100 Real-life example
In a survey, the ratio of students who prefer soccer to the total group is 3 : 5. What percent prefer soccer?
Step 1: Convert the ratio to a fraction.
3 / 5Step 2: Divide the numbers.
3 ÷ 5 = 0.6Step 3: Multiply by 100.
0.6 × 100 = 60Answer: 60% prefer soccer.
Try the Ratio → Percent calculator.
If you know the final percentage after a change and want to recover the earlier value, you are no longer converting formats. You are reversing the percentage effect.
That type of problem is solved with the Reverse Percentage calculator.
Relationship Between Percent, Decimal, Fraction, and Ratio
Many conversions represent the same quantity written in different ways.
25% = 0.25 = 1/4 = 1:450% = 0.50 = 1/2 = 1:275% = 0.75 = 3/4 = 3:4Understanding these relationships makes conversion faster and helps you recognize equivalent values in school, finance, and data analysis.
When to Use Percentage Conversions
- Use percent → decimal in tax, interest, and discount formulas.
- Use decimal → percent to report rates in a more familiar form.
- Use fraction → percent for test scores and part-to-whole results.
- Use percent → fraction when simplifying classroom or mental-math problems.
- Use ratio → percent when turning comparisons into survey-style percentages.
- Use percent → ratio when expressing a percent as a direct comparison.
Conversion Edge Cases
Some fractions convert to repeating decimals, which means the percentage also repeats.
1 / 3 = 0.333... = 33.333...%In practice, these values are often rounded depending on the context.
A percentage can exceed 100% when the value is larger than the original whole.
1.75 × 100 = 175%This means the decimal 1.75 represents 175%.
Fractions larger than 1 convert to percentages above 100%.
7 / 4 = 1.75 = 175%This often happens when a value is greater than the reference whole.
A ratio can also convert to a percentage above 100% if the first number is larger than the second.
3 : 2 = 3 ÷ 2 = 1.5 = 150%This means the first quantity is 150% of the second quantity.
Try These Conversion Problems
- Convert 0.72 to percent.
- Convert 18% to decimal.
- Convert 60% to fraction.
- Convert 7/8 to percent.
- Convert 40% to ratio.
- Convert the ratio 4 : 5 to percent.
Percentage Conversion Formulas
Decimal → Percent
Percent = Decimal × 100
Percent → Decimal
Decimal = Percent ÷ 100
Percent → Fraction
Fraction = Percent / 100
Fraction → Percent
Percent = (Numerator ÷ Denominator) × 100
Percent → Ratio
Ratio = Percent : 100
Ratio → Percent
Percent = (A ÷ B) × 100
Frequently Asked Questions
How are percent, decimal, fraction, and ratio related?
Percent, decimal, fraction, and ratio can all represent the same value written in different forms.
For example:
25% = 0.25 = 1/4 = 1:4The format changes, but the underlying relationship stays the same. This is why conversions are useful in school math, finance, statistics, and data interpretation.
Why do financial and statistical calculations often convert percent to decimal?
Many formulas work more efficiently with decimal values. Converting a percent to decimal form allows the number to be multiplied directly inside calculations such as tax, interest, growth, probability, and return formulas.
For example:
6% = 0.06This decimal form is easier to use in mathematical models and spreadsheets.
Why do some percentages produce repeating decimals?
Some fractions do not have a terminating decimal form. When those fractions are converted to decimals and then to percentages, the result repeats.
For example:
1 / 3 = 0.333... = 33.333...%In practice, repeating values are usually rounded to a suitable number of decimal places.
Refer to the Conversion Edge Cases section for a solved example.
What is the difference between a ratio and a percentage?
A ratio compares two quantities directly, while a percentage expresses a value relative to 100.
For example, the ratio 1:4 can also be written as 25%. The ratio keeps the comparison in direct form, while the percentage places it on a common scale that is easier to compare with other results.
Can percentages be greater than 100%?
Yes. A percentage greater than 100% means the value is larger than the reference whole.
For example:
1.75 = 175%Percentages above 100% often appear in growth rates, improper fractions, and ratios where the first quantity is larger than the second.
Refer to the Conversion Edge Cases section for examples.
When should you use a percentage converter instead of a percentage calculator?
Use a percentage converter when the goal is to rewrite the same value in another format, such as decimal, fraction, ratio, or percent.
Use other percentage calculators when you want to solve a different kind of problem, such as:
- finding a percentage of a number
- measuring a percentage increase or decrease
- recovering an original value before a percentage change
- applying multiple percentage changes in sequence
A converter changes the format. Other calculators analyze the value.