Percentage Calculator

Calculate Percentage of a Number

Result will appear here

Calculate Percentage Change

Result will appear here

Fraction ↔ Percentage Converter

Fraction to Percentage

Result will appear here

Percentage to Fraction

Result will appear here

Reverse Percentage Calculator

is %

Result will appear here

Relative Percentage Calculator

is what percent of

Result will appear here

Markup Calculator

markup by %

Result will appear here

Tip Calculator

tip by %

Result will appear here

Distribution Calculator

Result will appear here

Recent Calculations

Calculating percentages is essential in everyday life, whether you’re determining discounts while shopping, analyzing financial data, measuring business growth, or comparing statistical figures.

Yet, many struggle with manual percentage calculations, leading to errors, confusion, and wasted time. Understanding formulas like percentage increase, percentage decrease, percentage difference, and reverse percentage can be overwhelming, especially when dealing with large numbers or complex data.

Our Percentage Calculator eliminates this hassle by providing accurate, instant, and effortless calculations for a wide range of scenarios, from markup percentages in retail to tip calculations in restaurants.

Whether you’re a student, business owner, investor, or shopper, this tool ensures precision, efficiency, and ease. It allows you to focus on making informed decisions without the frustration of manual math.

How Do You Calculate Percentage Using Our Tool?

Our Calculator is designed to be user-friendly and efficient. Instead of manually working through formulas, you can input values into the tool and get instant results. Here’s how to use it for different calculations:

Enter the required values – Depending on the calculation, input the percentage, base number, or final value.
Choose the type of percentage calculation – Select whether you want to find a percentage, determine a percentage increase/decrease, or perform another percentage-based operation.
Click the calculate button – The tool will instantly generate the result, helping you save time and effort.

Now, let’s explore various percentage calculations and how they apply to real-world situations.

How to Calculate Percentage in Different Scenarios

Percentages are used in various ways depending on the context. Below, we’ll break down common percentage calculations with step-by-step explanations and examples.

1. Basic Percentage Calculation – Find X% of Y

This is the most straightforward percentage calculation and is used to determine what fraction of a total a given percentage represents.

Use Cases:

Finding a discount: What is 20% off a $150 product?
Calculating tax: How much is 15% sales tax on a $500 purchase?
Determining commission: If a real estate agent earns 5% commission on a $200,000 home sale, how much is the commission?

Formula:

Percentage Value = Percentage ÷ 100 × Total Value

Example:

Find 25% of 200.
25 ÷ 100 × 200 = 50
So, 25% of 200 is 50.

Real-World Application:

If a store offers a 25% discount on a $200 jacket, the savings would be $50, reducing the final price to $150.

2. Finding What Percentage One Number is of Another – A is what percent of B?

This calculation helps determine what fraction of one number another number represents in percentage form.

Use Cases:

Exam scores: You scored 45 out of 60 on a test. What percentage is that?
Battery usage: Your phone battery dropped from 100% to 40%. What percentage is used?
Market share: A company makes $500,000 in revenue while the total market revenue is $2,000,000. What percentage does it hold?

Formula:

Percentage = Part ÷ Total × 100

Example:

What percentage is 50 of 200?
50 ÷ 200 × 100 = 25%
So, 50 is 25% of 200.

Real-World Application:

If your monthly expenses are $1,200 and $300 is spent on groceries, groceries make up 25% of your total expenses.

3. Percentage Increase & Decrease Formula – Calculate Percentage Change

This is useful for finding percentage increases or decreases in prices, population, salaries, etc.

Use Cases:

Stock market: A stock price rises from $80 to $100. What’s the percentage increase
Population change: A city’s population decreased from 1,000,000 to 900,000. What’s the percentage decrease?
Salary raise: Your salary increased from $40,000 to $45,000. How much did it go up in percentage?

Formula:

Percentage Change = (New Value−Old Value) ÷ Old Value × 100

Example (Increase):

A price increases from $80 to $100. What’s the percentage increase?

(100 − 80) ÷ 80 × 100 = 25%
So, the price increased by 25%.

Example (Decrease):

A stock price drops from $50 to $40. What’s the percentage decrease?

(50 − 40) ÷ 50 × 100 = 20%
So, the stock decreased by 20%.

Real-World Application:

If rent goes from $1,500 to $1,800, that’s a 20% increase, meaning you need to budget an extra $300 per month.

4. Finding the Whole from a Percentage (Reverse Percentage)

This helps in finding the original value when a percentage of it is known.

Use Cases:

Sales tax calculation: If 5% tax amounts to $10, what was the original price?
Loan interest: You paid $500 in 10% interest. What was the principal loan amount
Discount reversal: If a 20% discount saves you $40, what was the original price?

Formula:

Total Value = Part ÷ (Percentage ÷ 100)

Example:

If 30% of a number is 90, what is the full number?
90 ÷ (30 ÷ 100) = 300
So, the total number is 300.

Real-World Application:

If a restaurant bill with 15% tip adds up to $57.50, the original bill before tip was $50.

5. Percentage Difference – Compare Two Values in Percentage Terms

This is useful in comparing two numbers as a percentage difference.

Use Cases:

Salary comparison: Employee A earns $60,000, Employee B earns $75,000. What’s the percentage difference?
Fuel consumption: A car’s fuel efficiency drops from 30 mpg to 25 mpg. How much percentage decrease?

Formula:

Example:

Comparing 150 and 100:
{(150−100) ÷ (150 + 100 ÷ 2)} × 100 = 40%
So, the percentage difference is 40%.

Real-World Application:

If two companies’ revenues are $500,000 and $750,000, the percentage difference is 40%, which helps investors compare business performance.

6. Fraction to Percentage & Percentage to Fraction

Converting between fractions and percentages is essential in finance, education, statistics, and business calculations.

How to Convert:

Fraction to Percentage: Multiply by 100.
Percentage to Fraction: Divide by 100 and simplify.

Example 1: Fraction to Percentage

Convert 3/5 to a percentage.

3 ÷ 5 × 100 = 60%
So, 3 ÷ 5 is 60%.

Real-World Application:

Education: A student correctly answers 12 out of 15 questions. Their score is (12/15) × 100 = 80%.
Finance: If ⅗ of your monthly expenses go toward rent, that means 60% of your income is spent on housing.

Example 2: Percentage to Fraction

Convert 60% to a fraction.

Convert 60% to a fraction.
60 ÷ 100 = 3 ÷ 5
So, 60% is equivalent to 3/5.

Use Cases

In a classroom of 25 students, if ⅖ are left-handed, that means 40% of the class is left-handed.
If a company’s revenue grew from $50,000 to $70,000, the fraction of increase is $20,000/$50,000 = 2/5, which is 40% growth.

7. Relative Percentage – Compare a Part to Another Part

Relative percentage is used in demographic analysis, survey comparisons, and statistical reports to compare one value against another.

Formula:

Relative Percentage = (Part 1 ÷ Part 2) × 100

Example:

In a company, 30 out of 80 employees are women. What percentage of men are there compared to women?

50 ÷ 30 × 100 = 166.67%
So, there are 166.67% more men than women.

Real-World Application:

Business & HR: If a department has 40 junior employees and 20 senior employees, then the ratio of juniors to seniors is 200%.
Demographics: If 30% of a city’s population is under 18, and 70% are adults, we can compare the two groups as 233% more adults than minors.

8. Markup Percentage – Calculate Price Increase Based on Cost Price

Businesses use markup percentage to determine selling prices, profit margins, and retail pricing strategies.

Formula:

Markup Percentage = (Selling Price − Cost Price ÷ Cost Price) × 100

Example:

A store buys a product for $40 and sells it for $50.
(50−40 ÷ 40) × 100 = 25%
So, the markup is 25%.

Real-World Application:

Retail Business: A clothing store buys a jacket for $60 and sells it for $90. The markup is (90 – 60) ÷ 60 × 100 = 50%.
E-commerce Pricing: If an online seller buys a phone case for $5 and sells it for $12, the markup is 140%, ensuring profit.

9. Tip Calculation – Find the Tip Amount Based on a Percentage

Tipping is standard in restaurants, ride services, and personal care industries, helping customers calculate the right tip.

Formula:

Tip Amount = (Tip Percentage ÷ 100) × Total Bill

Example:

For a $120 restaurant bill with a 15% tip:
(15 ÷ 100) × 120 = 18
So, the tip is $18.

Real-World Application:

Dining Out: If you eat at a restaurant and your bill is $75, a 20% tip would be $15.
Ride Services: If your taxi fare is $40 and you want to tip 10%, you leave an additional $4.

Final Verdict

Percentages play a crucial role in everyday life, from calculating discounts, sales tax, and interest rates to analyzing financial data, business growth, and statistical comparisons.

Whether you need to find a percentage of a number, determine percentage increase or decrease, compare values, or reverse-calculate the original total, mastering these formulas ensures accuracy in decision-making. However, manual calculations can be time-consuming and prone to errors.

That’s why our Percentage Calculator is the perfect solution—it provides instant, accurate, and effortless results for any percentage-related problem, whether you’re a student solving math problems, a business owner tracking revenue changes, or a shopper looking for the best deals.

Try our tool today and make percentage calculations fast, simple, and stress-free!