Question 1

What is a percentage?

Accepted Answer

A percentage is a number expressed as a fraction of 100. It is denoted using the percent sign (%). For example, 50% means 50 out of 100, or half of the total. Percentages are used to express a proportion or a relative value, making it easier to compare different quantities.

Question 2

How do I calculate what X% of Y is?

Accepted Answer

To calculate X% of Y, you multiply Y by X/100. For example, to find 25% of 200: 25% of 200 = (25/100) × 200 = 0.25 × 200 = 50. So, 25% of 200 is 50.

Question 3

How do I find what percentage X is of Y?

Accepted Answer

To find what percentage X is of Y, divide X by Y and then multiply by 100. For example, to find what percentage 50 is of 200: (50 ÷ 200) × 100 = 0.25 × 100 = 25%. So, 50 is 25% of 200.

Question 4

How do I calculate percentage increase or decrease?

Accepted Answer

To calculate the percentage change (increase or decrease) from an original value to a new value: 1. Subtract the original value from the new value. 2. Divide the result by the original value. 3. Multiply by 100 to get the percentage. Percentage change = ((New value - Original value) ÷ Original value) × 100. For example, to find the percentage increase from 100 to 150: ((150 - 100) ÷ 100) × 100 = (50 ÷ 100) × 100 = 0.5 × 100 = 50%. So, there is a 50% increase from 100 to 150. If the new value is less than the original value, the result will be a negative percentage, indicating a decrease.

Question 5

How do I calculate a discount?

Accepted Answer

To calculate the discounted price after applying a percentage discount: 1. Calculate the discount amount: Original price × (Discount percentage ÷ 100). 2. Subtract the discount amount from the original price: Original price - Discount amount. For example, to find the final price of an item originally priced at ₹1000 with a 20% discount: Discount amount = ₹1000 × (20 ÷ 100) = ₹1000 × 0.2 = ₹200. Final price = ₹1000 - ₹200 = ₹800. Alternatively, you can directly calculate the final price as: Final price = Original price × (1 - Discount percentage ÷ 100). Using the same example: ₹1000 × (1 - 20 ÷ 100) = ₹1000 × 0.8 = ₹800.

Question 6

How do I calculate a tip?

Accepted Answer

To calculate a tip based on a percentage of the bill: Tip amount = Bill amount × (Tip percentage ÷ 100). For example, to calculate a 15% tip on a restaurant bill of ₹1000: Tip amount = ₹1000 × (15 ÷ 100) = ₹1000 × 0.15 = ₹150. The total amount to pay would be the bill amount plus the tip: Total amount = ₹1000 + ₹150 = ₹1150.

Question 7

How do I calculate tax?

Accepted Answer

To calculate tax (such as GST or sales tax) on a price: Tax amount = Price × (Tax rate ÷ 100). For example, to calculate 18% GST on a product priced at ₹1000: Tax amount = ₹1000 × (18 ÷ 100) = ₹1000 × 0.18 = ₹180. The total price including tax would be: Total price = ₹1000 + ₹180 = ₹1180. If you need to find the original price before tax was added, use this formula: Original price = Total price ÷ (1 + Tax rate ÷ 100). For example, to find the original price of an item that costs ₹1180 including 18% GST: Original price = ₹1180 ÷ (1 + 18 ÷ 100) = ₹1180 ÷ 1.18 = ₹1000.

Percentage Calculator

Understanding Percentages

Common Percentage Calculations

Finding a Percentage of a Number

Finding What Percentage One Number is of Another

Calculating Percentage Increase or Decrease

Real-World Applications of Percentages

Discounts and Sales

Taxes

Tips

Interest Rates

Statistics and Data Analysis