Percentage of a Number
Find what percentage a number is of another number. Example: 20% of 200 is 40.
Percentage Increase/Decrease
Calculate how much a value has increased or decreased in percentage terms. Example: If a price goes from $50 to $60, the increase is 20%.
Percentage Difference
Compare two numbers to see their percentage difference. Example: The difference between 80 and 100 is 22.22%.
Reverse Percentage Calculation
Find the original value before a percentage increase or decrease was applied. Example: If the final price after a 10% increase is $110, the original price was $100.
Compound Percentage Change
Calculate changes over multiple periods. Example: A 10% yearly increase over 3 years on $100 gives $133.10.
Frequently Asked Questions (FAQs)
How Are Percentages Calculated?
A percentage is calculated using the formula: (Part ÷ Total) × 100.
For example, if you score 45 out of 50, your percentage is:
(45 ÷ 50) × 100 = 90%.
How to Calculate Percentage Increase?
To calculate percentage increase, use the formula:
((New Value – Old Value) ÷ Old Value) × 100.
Example:
If a price increases from $50 to $65, the percentage increase is:
((65 – 50) ÷ 50) × 100 = 30%.
How to Calculate Percentage of a Number?
To calculate the percentage of a number, use the formula:
(Percentage ÷ 100) × Total Value.
Example:
30% of 200 is calculated as:
(30 ÷ 100) × 200 = 60.
How to Calculate Percentage Change?
Percentage change is calculated using the formula:
((New Value – Old Value) ÷ Old Value) × 100.
Example 1: Percentage Increase
If a price increases from $50 to $65:
((65 – 50) ÷ 50) × 100 = 30% (Increase).
Example 2: Percentage Decrease
If a price decreases from $80 to $60:
((60 – 80) ÷ 80) × 100 = -25% (Decrease).
How to Calculate Percentage Difference?
Percentage difference is calculated using the formula:
((|Value 1 – Value 2|) ÷ ((Value 1 + Value 2) ÷ 2)) × 100.
Example:
Comparing 50 and 70:
((|50 – 70|) ÷ ((50 + 70) ÷ 2)) × 100 = 33.33%.
The percentage difference between 50 and 70 is **33.33%**.