what is 15 of 230

Natashya

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26-12-2024

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What is 15% of 230? A Step-by-Step Guide

Finding a percentage of a number is a common task in many areas, from calculating sales tax to determining discounts. Let's break down how to calculate 15% of 230. This seemingly simple question opens the door to understanding percentages more broadly.

Understanding Percentages

A percentage represents a fraction out of 100. So, 15% means 15 out of 100, or 15/100. To find 15% of 230, we need to find the value that represents 15/100 of 230.

Method 1: Converting to a Decimal

The most straightforward method involves converting the percentage to a decimal.

1. Convert the percentage to a decimal: Divide 15 by 100: 15 ÷ 100 = 0.15

2. Multiply the decimal by the number: Multiply 0.15 by 230: 0.15 x 230 = 34.5

Therefore, 15% of 230 is $\boxed{34.5}$

Method 2: Using Fractions

We can also solve this using fractions.

1. Represent the percentage as a fraction: 15% is equivalent to the fraction 15/100.

2. Multiply the fraction by the number: (15/100) x 230 = 3450/100

3. Simplify the fraction: 3450/100 simplifies to 34.5

Again, we arrive at the answer: 15% of 230 is $\boxed{34.5}$

Method 3: Proportion Method

This method is helpful for visualizing the problem.

We can set up a proportion:

15/100 = x/230

To solve for x (15% of 230), cross-multiply:

100x = 15 * 230

100x = 3450

x = 3450 / 100

x = 34.5

Once again, we find that 15% of 230 is $\boxed{34.5}$

Practical Applications

Understanding percentage calculations is crucial in various real-world situations. For example:

• Sales and Discounts: If an item costs $230 and is on sale for 15% off, the discount amount is $34.50.

• Taxes: Calculating sales tax or other taxes on a $230 purchase.

• Tips: Determining a 15% tip on a $230 restaurant bill.

• Commission: Calculating a 15% commission on $230 in sales.

By mastering these methods, you'll be equipped to tackle various percentage calculations with confidence. Remember, whether you use decimals, fractions, or proportions, the result remains the same: 15% of 230 is 34.5.