what is 3.5 of 130000

Natashya

less than a minute read

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23-12-2024

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Finding a percentage of a number is a common calculation in many areas of life, from calculating sales tax to determining discounts. This article will guide you through calculating 3.5% of 130,000, explaining the process step-by-step so you can easily understand and apply the method to other percentage calculations.

Understanding Percentages

Before we begin, let's quickly review what percentages represent. A percentage is a fraction of 100. For example, 3.5% can be written as 3.5/100 or 0.035.

Calculating 3.5% of 130,000

There are two main ways to calculate this:

Method 1: Using Decimal Conversion

1. Convert the percentage to a decimal: Divide 3.5 by 100. This gives you 0.035.

2. Multiply the decimal by the number: Multiply 0.035 by 130,000.

   0.035 * 130,000 = 4550

Therefore, 3.5% of 130,000 is $\boxed{4550}$

Method 2: Using Fractions

1. Convert the percentage to a fraction: 3.5% can be written as 3.5/100 or 7/200 (after simplifying).

2. Multiply the fraction by the number: Multiply 7/200 by 130,000.

   (7/200) * 130,000 = 4550

Again, we find that 3.5% of 130,000 is $\boxed{4550}$

Practical Applications

Understanding how to calculate percentages is crucial in various real-world situations. Here are a few examples:

• Sales tax: If you buy something for $130,000 and the sales tax is 3.5%, you would pay an additional $4550 in taxes.
• Discounts: A 3.5% discount on a $130,000 item would reduce the price by $4550.
• Commission: A salesperson earning a 3.5% commission on $130,000 in sales would earn $4550.
• Interest: Calculating simple interest on a loan or investment often involves percentage calculations.

Conclusion

Calculating percentages is a fundamental mathematical skill with wide-ranging applications. As demonstrated, finding 3.5% of 130,000 is straightforward using either the decimal conversion method or the fraction method, both yielding the same result: 4550. Mastering this skill will empower you to confidently tackle similar percentage problems in various contexts.