Calculating percentages is an essential part of mathematics and everyday life. If you are wondering what is 75 of 200, you are trying to find the percentage of 75 out of a total of 200. In other words, what fraction of 200 is 75? In this article, we will explain how to calculate and the importance of understanding percentages.
What is a Percentage?
Before we dive into calculating, let’s start with a brief overview of what percentages are. Percentages are a way of expressing a part of a whole as a fraction of 100. For example, if you have 50 apples and you give away 25, you have given away 50% of the apples (25/50 * 100 = 50%).
Calculating 75 of 200
To calculate what percentage 75 is of 200, you need to divide 75 by 200 and then multiply by 100 to get the percentage value. This can be done using the following formula:
(75 / 200) * 100 = 37.5%
So, 75 is 37.5% of 200.
Importance of Understanding Percentages
Understanding percentages is important in various fields, such as finance, business, and science. It allows individuals to make informed decisions and analyze data more accurately.
In finance, percentages are used to calculate interest rates, returns on investments, and discounts. For example, if you have a savings account that pays 2% interest annually, you can calculate the interest earned by multiplying the amount of money in the account by the interest rate expressed as a decimal (e.g., $10,000 * 0.02 = $200).
In business, percentages are used to analyze financial statements and assess performance. For instance, if a company’s revenue increased from $100,000 to $150,000, you can calculate the percentage increase as follows:
[(New Value – Old Value) / Old Value] * 100 = Percentage Increase [(150,000 – 100,000) / 100,000] * 100 = 50%
In science, percentages are used to express proportions, such as the concentration of a solution or the percentage of a population that exhibits a certain trait. For example, if a solution contains 30 g of solute in 100 g of solvent, you can express the concentration as 30%.
Conclusion
Calculating percentages is a crucial skill that has practical applications in various fields. Understanding percentages allows individuals to make informed decisions and analyze data more accurately. To calculate what is 75 of 200, you need to divide 75 by 200 and multiply by 100, resulting in 37.5%. By understanding percentages, you can make better financial decisions, analyze business performance, and interpret scientific data more effectively.
