what is 35 of 180

2 min read 23-12-2024

Finding a percentage of a number is a common calculation in many areas of life, from calculating discounts to figuring out tips. This article will show you how to calculate "What is 35% of 180?" and provide you with the skills to solve similar problems. We'll break down the process step-by-step, making it easy to understand even if you're not a math whiz.

Understanding Percentages

A percentage is a fraction out of 100. So, 35% can be written as 35/100 or 0.35. To find 35% of 180, we need to multiply 180 by 0.35.

Calculating 35% of 180: Method 1 - Decimal Conversion

Step 1: Convert the percentage to a decimal.

As mentioned above, 35% is equivalent to 0.35.

Step 2: Multiply the decimal by the number.

Multiply 0.35 by 180: 0.35 x 180 = 63

Therefore, 35% of 180 is 63.

Calculating 35% of 180: Method 2 - Fraction Conversion

Step 1: Convert the percentage to a fraction.

35% can be written as 35/100.

Step 2: Simplify the fraction (optional).

Both 35 and 100 are divisible by 5, simplifying the fraction to 7/20.

Step 3: Multiply the fraction by the number.

Multiply 7/20 by 180: (7/20) * 180 = (7 * 180) / 20 = 1260 / 20 = 63

Therefore, 35% of 180 is 63.

Real-World Applications

Understanding percentage calculations is crucial in various situations:

Shopping: Calculating discounts on sale items. If a $180 item is 35% off, you'll save $63.
Taxes: Determining the amount of tax on a purchase or income.
Tips: Figuring out how much tip to leave at a restaurant.
Finance: Calculating interest earned or paid.

Using a Calculator

Most calculators have a percentage function. Simply enter 180, press the multiplication button, enter 35, and then press the "%" button. The calculator will automatically perform the calculation and display the answer: 63.

Conclusion

Calculating percentages is a valuable skill. Whether you use the decimal method, the fraction method, or a calculator, finding 35% of 180 consistently results in the answer 63. Mastering this skill will empower you to confidently tackle similar percentage problems in your daily life. Remember to practice and soon you'll be calculating percentages like a pro!