what percent of 400 is 125

Natashya

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23-12-2024

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What Percent of 400 is 125? A Step-by-Step Guide

Finding what percent one number represents of another is a common calculation. Let's break down how to determine what percentage 125 is of 400. This seemingly simple question has practical applications in many areas, from calculating discounts to understanding data analysis.

Understanding the Problem

The question "What percent of 400 is 125?" is asking us to find the percentage that 125 represents when compared to 400. We need to find the ratio of 125 to 400, and then express that ratio as a percentage.

Method 1: Using a Proportion

One effective way to solve this problem involves setting up a proportion. A proportion is an equation stating that two ratios are equal.

• We can set up the proportion: x/100 = 125/400

• Here, 'x' represents the percentage we're trying to find. The left side shows the percentage (x) out of 100, and the right side shows the ratio of 125 to 400.

• To solve for 'x', cross-multiply: 400x = 12500

• Then, divide both sides by 400: x = 12500 / 400 = 31.25

• Therefore, 125 is 31.25% of 400.

Method 2: Using Decimal Conversion

Alternatively, we can use decimal conversion to solve this.

• First, find the decimal representation of the ratio 125/400: 125 ÷ 400 = 0.3125

• To convert this decimal to a percentage, multiply by 100: 0.3125 × 100 = 31.25%

• This confirms that 125 is 31.25% of 400.

Practical Applications

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

• Sales and Discounts: If an item originally costs $400 and is on sale for $125, the discount is 31.25%.

• Data Analysis: If 125 out of 400 people surveyed preferred a certain product, that represents 31.25% of the total respondents.

• Financial Calculations: Percentage calculations are essential in finance, such as calculating interest rates, returns on investments, and profit margins.

Conclusion

To recap, 125 is 31.25% of 400. Both the proportion method and the decimal conversion method yield the same accurate result. Mastering these methods empowers you to confidently tackle similar percentage problems in various contexts. Remember, understanding percentages is a valuable skill with broad applications across numerous fields.