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what is 20 of $85

what is 20 of $85

less than a minute read 05-02-2025
what is 20 of $85

What is 20% of $85? A Simple Percentage Calculation

Finding 20% of $85 is a common percentage problem. Whether you're calculating a discount, a tip, or a commission, understanding how to solve this type of problem is a valuable skill. This article will guide you through the calculation, explaining the process step-by-step.

Understanding Percentages

A percentage is a fraction or ratio expressed as a number out of 100. For example, 20% means 20 out of 100, which can be written as the fraction 20/100 or the decimal 0.20.

Method 1: Using Decimal Multiplication

The most straightforward method to calculate 20% of $85 is to convert the percentage to a decimal and multiply.

  1. Convert the percentage to a decimal: Divide 20 by 100: 20 ÷ 100 = 0.20

  2. Multiply the decimal by the original amount: 0.20 x $85 = $17

Therefore, 20% of $85 is $\boxed{17}.

Method 2: Using Fractions

Alternatively, you can use fractions to calculate the percentage.

  1. Convert the percentage to a fraction: 20% is equal to 20/100, which simplifies to 1/5.

  2. Multiply the fraction by the original amount: (1/5) x $85 = $17

Again, we find that 20% of $85 is $\boxed{17}.

Practical Applications

Understanding how to calculate percentages has numerous real-world applications:

  • Sales Discounts: If a store offers a 20% discount on an item priced at $85, you'd save $17.

  • Tips and Gratuities: Calculating a 20% tip on a $85 restaurant bill would also result in a $17 tip.

  • Commission Calculations: A salesperson earning a 20% commission on a $85 sale would receive $17.

  • Tax Calculations: While sales tax is usually calculated as a percentage added to the original price, this fundamental calculation remains relevant.

Conclusion

Calculating percentages is a fundamental mathematical skill. Whether you prefer using decimals or fractions, both methods accurately determine that 20% of $85 is $17. This simple calculation is applicable to various scenarios in everyday life and financial matters. Mastering this skill allows for quick and accurate calculations in various contexts.

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