Embark on a mathematical adventure as we unravel the enigma of what percent of 2160 is 270. In this exploration, we will delve into the captivating world of percentages, uncovering their significance and practical applications. Join us as we navigate through calculations, simplifications, and real-world examples, unlocking the secrets of percentages and gaining a deeper understanding of this fundamental mathematical concept.

Our journey begins with a thorough examination of the concept of percentage, defining it and exploring its mathematical representation. We will then embark on a guided calculation of the percentage of 270 out of 2160, employing the formula (Part / Whole) x 100%. Along the way, we will simplify the fraction (270 / 2160) to obtain a more manageable percentage value.

Understanding the concept of percentage

Percentage is a way of expressing a fraction as a part of 100. It is represented by the symbol %, and is calculated by dividing the numerator by the denominator and multiplying the result by 100.For example, to find 25% of 200, we divide 25 by 100 to get 0.25, and then multiply 0.25 by 200 to get 50. Therefore, 25% of 200 is 50.

Determining the percentage value

To calculate the percentage of a part relative to a whole, we use the formula: Percentage = (Part / Whole) x 100%

Calculating the percentage

To find the percentage of 270 out of 2160, we can apply this formula:

Percentage = (270 / 2160) x 100%Percentage = 0.125 x 100%Percentage = 12.5%

Therefore, 270 is 12.5%of 2160.

Simplifying the calculation

To simplify the calculation, we can try to simplify the fraction 270 / 2160 to obtain a simpler percentage value. Here are the steps involved in the simplification process:

Finding the greatest common factor (GCF)

The first step is to find the greatest common factor (GCF) of the numerator and denominator. The GCF is the largest number that divides both numbers without leaving a remainder. In this case, the GCF of 270 and 2160 is 90.

Simplifying the fraction, What percent of 2160 is 270

Once we have found the GCF, we can simplify the fraction by dividing both the numerator and denominator by the GCF. In this case, we divide both 270 and 2160 by 90, which gives us the simplified fraction 3 / 24.

Converting the fraction to a percentage

Finally, we can convert the simplified fraction to a percentage by multiplying the fraction by 100. In this case, we multiply 3 / 24 by 100, which gives us the percentage value of 12.5%.

Therefore, we have simplified the fraction 270 / 2160 to the simpler percentage value of 12.5%.

Expressing the percentage

Now that we have calculated the percentage, let’s explore how to express it in two different formats: decimal and percentage.

Decimal Representation

A decimal representation is a number written using the digits 0-9 and a decimal point. In our case, the decimal representation of the percentage is 0.125.

Percentage Representation

A percentage representation is a number written with a percent sign (%). To convert a decimal to a percentage, we multiply it by 100. In our case, the percentage representation of 0.125 is 12.5%.

Providing context and examples: What Percent Of 2160 Is 270

Percentage is a widely used concept in everyday life, from calculating discounts and interest rates to understanding statistics and probability. Let’s explore some real-world examples where percentage plays a crucial role.

The calculation of what percent of 2160 is 270 is straightforward. To find the answer, we can use a simple formula: (270/2160) x 100. The result is approximately 12.5%. It’s interesting to note that the legal case kuha v city of minnetonka also involves percentages, as it deals with the calculation of damages.

Returning to our original question, 270 is 12.5% of 2160.

Practical Examples of Percentage

• Shopping Discounts: When a store offers a 20% discount on an item, it means the customer pays 80% of the original price. For instance, if a shirt costs $50, the discounted price would be $50 x 0.8 = $40.
• Interest Rates: Banks and financial institutions use percentages to determine interest rates on loans and savings accounts. For example, if a bank offers a 5% annual interest rate on a savings account, it means the account balance will increase by 5% each year.

• Sales Tax: Many countries and states impose sales tax on goods and services. For example, if the sales tax rate is 8%, it means that for every $100 spent, an additional $8 is added as tax.
• Probability and Statistics: In probability and statistics, percentages are used to express the likelihood of an event occurring. For instance, if a weather forecast predicts a 70% chance of rain, it means that there is a 70% probability of rain occurring.

Advanced applications

Percentages are extensively used in various fields, ranging from finance to statistics and scientific calculations. They play a vital role in understanding and interpreting data, making comparisons, and solving complex problems.

Finance

In finance, percentages are used to calculate interest rates, return on investments, and financial ratios. For example, a bank may offer a loan with an interest rate of 5%. This means that for every $100 borrowed, the borrower will pay $5 in interest over a specific period.

Statistics

In statistics, percentages are used to represent the proportion of data points that fall within a particular range. For example, a survey may find that 60% of respondents prefer a particular product. This means that out of 100 respondents, 60 indicated a preference for that product.

Scientific calculations

In scientific calculations, percentages are used to express the concentration of substances, the efficiency of reactions, and the probability of events. For example, a solution with a concentration of 10% means that 10% of the solution is made up of the solute, while the remaining 90% is the solvent.

Expert Answers

What is the formula for calculating percentage?

(Part / Whole) x 100%

How do I simplify a fraction to obtain a percentage value?

Divide the numerator by the denominator and multiply the result by 100%.

What are some real-world examples where percentages are applied?

Discounts, interest rates, population growth, scientific measurements