what percentage is 35 out of 40

Natashya

2 min read

·

26-12-2024

1

0

Share

Knowing how to calculate percentages is a valuable skill in many aspects of life, from figuring out discounts to understanding grades. This article will show you exactly how to determine what percentage 35 out of 40 represents, and provide you with the formula and steps so you can calculate other percentages yourself.

Understanding Percentages

A percentage is a way of expressing a number as a fraction of 100. For example, 50% means 50 out of 100, or 50/100, which simplifies to 1/2.

Calculating the Percentage: 35 out of 40

To find out what percentage 35 out of 40 is, we'll follow these simple steps:

Step 1: Set up the Fraction

First, express the problem as a fraction: 35/40. This represents 35 parts out of a total of 40 parts.

Step 2: Convert the Fraction to a Decimal

Divide the numerator (the top number, 35) by the denominator (the bottom number, 40):

35 ÷ 40 = 0.875

Step 3: Convert the Decimal to a Percentage

To convert a decimal to a percentage, multiply the decimal by 100 and add the "%" symbol:

0.875 x 100 = 87.5%

Therefore, 35 out of 40 is 87.5%.

The Formula: A Quick Way to Calculate Percentages

You can use this general formula to calculate any percentage:

(Part / Whole) x 100% = Percentage

In our example:

(35 / 40) x 100% = 87.5%

Real-World Applications

Understanding percentage calculations is crucial in many real-world situations:

• Grades: If you scored 35 out of 40 on a test, you achieved an 87.5% grade.
• Discounts: A 25% discount on a $100 item means you save $25 (25% of $100).
• Sales Tax: Calculating sales tax involves determining a percentage of the purchase price.
• Interest Rates: Understanding interest rates on loans or savings accounts requires percentage calculations.

Practice Problems

Try calculating these percentages using the formula above:

• What percentage is 15 out of 25?
• What percentage is 12 out of 30?
• What percentage is 20 out of 80?

By mastering percentage calculations, you'll be better equipped to handle various numerical situations in your daily life. Remember the simple steps and the formula, and you'll be calculating percentages like a pro in no time!