EVERYDAY MATH & CALCULATIONS
Percentage Calculator – Calculate Percentages, Increase, Decrease & More
Use this Percentage Calculator to quickly calculate percentages,
percentage increases and decreases, discounts, markups, changes in
values and other common percentage problems. Enter the numbers you
know and use the relevant calculation to get a clear result without
doing the mathematics manually.
Percentage calculations are used in shopping, salary changes, exam
marks, business, finance, discounts, profit and loss, statistics and
everyday situations. This calculator helps you solve common percentage
questions quickly and understand how the result is calculated.
What Is a Percentage?
A percentage represents a number as a fraction of 100. The word
"percent" means "per hundred." The percentage symbol is %.
For example, 25% means 25 out of 100. Similarly, 50% means 50 out of
100, while 10% means 10 out of 100.
Percentage = (Part ÷ Whole) × 100
If 20 students out of a class of 50 passed an exam, the percentage of
students who passed is:
(20 ÷ 50) × 100 = 40%
What Can You Calculate With a Percentage Calculator?
What Is X% of Y?
Find a percentage of a given number. For example, calculate 15% of
₹2,000 or 30% of 500.
What Percentage Is X of Y?
Find what percentage one number represents of another number, such
as 45 out of 60.
Percentage Increase
Calculate how much a value has increased in percentage terms when
you know its original and new values.
Percentage Decrease
Calculate the percentage reduction between an original value and a
lower new value.
How to Calculate a Percentage
The basic percentage formula is simple:
Percentage = (Part ÷ Whole) × 100
Suppose you scored 72 marks out of 100. Your percentage is:
(72 ÷ 100) × 100 = 72%
If the total marks are different, use the same formula. For example,
if you score 360 marks out of 500:
(360 ÷ 500) × 100 = 72%
How to Calculate X% of a Number
To calculate a percentage of a number, convert the percentage into a
decimal and multiply it by the number.
X% of Y = (X ÷ 100) × Y
For example, to calculate 20% of 1,500:
(20 ÷ 100) × 1,500 = 300
Therefore, 20% of 1,500 is 300.
How to Calculate Percentage Increase
Percentage increase shows how much a value has increased compared with
its original value.
Percentage Increase = ((New Value − Original Value) ÷ Original Value) × 100
For example, if a product price increases from ₹1,000 to ₹1,200:
((1,200 − 1,000) ÷ 1,000) × 100 = 20%
The price has increased by 20%.
How to Calculate Percentage Decrease
Percentage decrease shows how much a value has fallen compared with
its original value.
Percentage Decrease = ((Original Value − New Value) ÷ Original Value) × 100
For example, if a price falls from ₹2,000 to ₹1,600:
((2,000 − 1,600) ÷ 2,000) × 100 = 20%
The value has decreased by 20%.
Percentage Difference vs Percentage Change
Percentage change and percentage difference are not always the same
calculation. Percentage change normally compares a new value with an
original or starting value.
Percentage difference is generally used when comparing two values
without treating either value as the starting or original value. The
appropriate formula therefore depends on what you are trying to measure.
When calculating a price increase, salary increase, investment change or
discount, make sure you identify the original value before calculating
the percentage change.
Real-Life Uses of Percentage Calculations
Shopping Discounts
Calculate how much you save when a shop offers a percentage discount
on the original price.
Salary Changes
Find the percentage increase or decrease between an old and new
salary.
Exam Marks
Convert marks obtained into a percentage when you know the total
possible marks.
Business
Calculate changes in sales, costs, margins, prices and other
business figures.
Finance
Percentage calculations are commonly used for returns, changes in
prices, rates and financial comparisons.
Everyday Calculations
Quickly calculate proportions and changes without doing the formula
manually.
Percentage Calculation Examples
10% of 500 = 50
25% of 800 = 200
50 is what percentage of 200? = 25%
₹1,000 increased to ₹1,250 = 25% increase
₹2,000 reduced to ₹1,500 = 25% decrease
Common Percentage Calculation Mistakes
- Using the new value instead of the original value when calculating percentage change.
- Confusing percentage points with percentage change.
- Forgetting to divide by 100 when converting a percentage into a decimal.
- Confusing "X% of Y" with "X is what percentage of Y?"
- Rounding intermediate calculations too early.
- Using the wrong base value when comparing two numbers.
Frequently Asked Questions About Percentages
What is the basic percentage formula?
The basic formula is Percentage = (Part ÷ Whole) × 100.
How do I calculate 20% of a number?
Multiply the number by 20 and divide by 100. For example, 20% of
500 is 100.
How do I calculate percentage increase?
Subtract the original value from the new value, divide the result
by the original value and multiply by 100.
How do I calculate percentage decrease?
Subtract the new value from the original value, divide by the
original value and multiply by 100.
What percentage is 25 out of 100?
25 out of 100 is 25%.
What is the difference between percentage and percentage points?
A percentage describes a relative proportion or change, while a
percentage point describes the direct difference between two
percentages. For example, a change from 20% to 25% is an increase
of 5 percentage points.
Disclaimer:
This calculator and the information on this page are provided for general
educational and calculation purposes. Results depend on the numbers entered
and the calculation method used. Always check the underlying figures and
assumptions when using percentage calculations for financial, business,
tax or other important decisions.
Percentage Calculator – Calculate Percentages, Increase, Decrease & More
Use this Percentage Calculator to quickly calculate percentages, percentage increases and decreases, discounts, markups, changes in values and other common percentage problems. Enter the numbers you know and use the relevant calculation to get a clear result without doing the mathematics manually.
Percentage calculations are used in shopping, salary changes, exam marks, business, finance, discounts, profit and loss, statistics and everyday situations. This calculator helps you solve common percentage questions quickly and understand how the result is calculated.
What Is a Percentage?
A percentage represents a number as a fraction of 100. The word "percent" means "per hundred." The percentage symbol is %.
For example, 25% means 25 out of 100. Similarly, 50% means 50 out of 100, while 10% means 10 out of 100.
If 20 students out of a class of 50 passed an exam, the percentage of students who passed is:
What Can You Calculate With a Percentage Calculator?
What Is X% of Y?
Find a percentage of a given number. For example, calculate 15% of ₹2,000 or 30% of 500.
What Percentage Is X of Y?
Find what percentage one number represents of another number, such as 45 out of 60.
Percentage Increase
Calculate how much a value has increased in percentage terms when you know its original and new values.
Percentage Decrease
Calculate the percentage reduction between an original value and a lower new value.
How to Calculate a Percentage
The basic percentage formula is simple:
Suppose you scored 72 marks out of 100. Your percentage is:
If the total marks are different, use the same formula. For example, if you score 360 marks out of 500:
How to Calculate X% of a Number
To calculate a percentage of a number, convert the percentage into a decimal and multiply it by the number.
For example, to calculate 20% of 1,500:
Therefore, 20% of 1,500 is 300.
How to Calculate Percentage Increase
Percentage increase shows how much a value has increased compared with its original value.
For example, if a product price increases from ₹1,000 to ₹1,200:
The price has increased by 20%.
How to Calculate Percentage Decrease
Percentage decrease shows how much a value has fallen compared with its original value.
For example, if a price falls from ₹2,000 to ₹1,600:
The value has decreased by 20%.
Percentage Difference vs Percentage Change
Percentage change and percentage difference are not always the same calculation. Percentage change normally compares a new value with an original or starting value.
Percentage difference is generally used when comparing two values without treating either value as the starting or original value. The appropriate formula therefore depends on what you are trying to measure.
When calculating a price increase, salary increase, investment change or discount, make sure you identify the original value before calculating the percentage change.
Real-Life Uses of Percentage Calculations
Shopping Discounts
Calculate how much you save when a shop offers a percentage discount on the original price.
Salary Changes
Find the percentage increase or decrease between an old and new salary.
Exam Marks
Convert marks obtained into a percentage when you know the total possible marks.
Business
Calculate changes in sales, costs, margins, prices and other business figures.
Finance
Percentage calculations are commonly used for returns, changes in prices, rates and financial comparisons.
Everyday Calculations
Quickly calculate proportions and changes without doing the formula manually.
Percentage Calculation Examples
Common Percentage Calculation Mistakes
- Using the new value instead of the original value when calculating percentage change.
- Confusing percentage points with percentage change.
- Forgetting to divide by 100 when converting a percentage into a decimal.
- Confusing "X% of Y" with "X is what percentage of Y?"
- Rounding intermediate calculations too early.
- Using the wrong base value when comparing two numbers.
Frequently Asked Questions About Percentages
What is the basic percentage formula?
The basic formula is Percentage = (Part ÷ Whole) × 100.
How do I calculate 20% of a number?
Multiply the number by 20 and divide by 100. For example, 20% of 500 is 100.
How do I calculate percentage increase?
Subtract the original value from the new value, divide the result by the original value and multiply by 100.
How do I calculate percentage decrease?
Subtract the new value from the original value, divide by the original value and multiply by 100.
What percentage is 25 out of 100?
25 out of 100 is 25%.
What is the difference between percentage and percentage points?
A percentage describes a relative proportion or change, while a percentage point describes the direct difference between two percentages. For example, a change from 20% to 25% is an increase of 5 percentage points.