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How to Find the Percentage of One Number to Another

Calculating percentages is an essential skill in various fields such as finance, statistics, and mathematics. Understanding how to find the percentage of one number to another is particularly important when analyzing data, comparing quantities, or determining the relative growth or decline of values. In this article, we will explore the step-by-step process of calculating percentages and provide examples to illustrate the concept. Additionally, we will address frequently asked questions to further enhance your understanding.

Step 1: Determine the Two Numbers

To find the percentage of one number to another, it is crucial to identify the two numbers involved. Let’s call the first number the “part” and the second number the “whole.” The part represents the quantity we want to calculate the percentage of, while the whole represents the total or reference value.

Step 2: Divide the Part by the Whole

Next, divide the part by the whole. This will give us a decimal value. For instance, if the part is 50 and the whole is 200, the calculation would be 50 ÷ 200 = 0.25.

Step 3: Multiply by 100

To express the decimal value as a percentage, multiply it by 100. Using the previous example, 0.25 × 100 = 25%. Therefore, 50 is 25% of 200.

Example 1:

Let’s say you have a class of 30 students, and 18 of them are girls. To find the percentage of girls in the class, divide the number of girls (18) by the total number of students (30), which gives you 0.6. Multiply this by 100 to get the percentage: 0.6 × 100 = 60%. Therefore, 18 is 60% of 30.

Example 2:

Suppose you have invested $5,000 in a stock, and it has grown to $6,500. To find the percentage increase in the value of your investment, divide the difference between the final value ($6,500) and the initial value ($5,000) by the initial value: (6,500 – 5,000) ÷ 5,000 = 0.3. Multiply this by 100 to find the percentage: 0.3 × 100 = 30%. Hence, your investment has increased by 30%.

Frequently Asked Questions (FAQs):

Q1: How do I find the percentage decrease?

A1: To find the percentage decrease, follow the same steps as mentioned earlier, but instead of subtracting the initial value from the final value, subtract the final value from the initial value. Divide this difference by the initial value and multiply by 100.

Q2: Can the percentage be greater than 100%?

A2: Yes, it is possible for the percentage to be greater than 100%. This occurs when the part is larger than the whole. For example, if you have 200 apples and you take 250 apples, the percentage would be 250 ÷ 200 × 100 = 125%.

Q3: How do I find the percentage using a calculator?

A3: Most calculators have a percentage button (%). To find the percentage, input the part, followed by the divide (÷) key, then enter the whole number. Finally, press the percentage button (%), and the result will be displayed.

Q4: How can percentages be useful in everyday life?

A4: Percentages are widely used in various real-life scenarios. They can help you determine discounts while shopping, calculate tips in restaurants, understand interest rates on loans, or analyze growth rates of investments.

In conclusion, understanding how to find the percentage of one number to another is a valuable skill that enables you to interpret data, compare quantities, and assess relative changes. By following the steps outlined in this article, you can easily calculate percentages and apply this knowledge in a wide range of everyday situations.

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