What Is $90 %$ Of 67?
Understanding the Concept of Percentage
Percentage is a way to express a value as a fraction of 100. It is denoted by the symbol '%' and is calculated by dividing the value by 100. In this case, we are asked to find 90% of 67, which means we need to calculate 90% of the value 67.
Calculating 90% of 67
To calculate 90% of 67, we can use the formula:
90% of 67 = (90/100) × 67
We can simplify this expression by dividing 90 by 100, which gives us 0.9. Then, we multiply 0.9 by 67 to get the result.
Step-by-Step Calculation
- Divide 90 by 100 to get 0.9.
- Multiply 0.9 by 67 to get the result.
Performing the Calculation
0.9 × 67 = 60.3
Conclusion
Therefore, 90% of 67 is equal to 60.3.
Real-World Applications of Percentage Calculations
Percentage calculations have numerous real-world applications, including finance, business, and science. For example, in finance, percentage calculations are used to calculate interest rates, investment returns, and inflation rates. In business, percentage calculations are used to calculate sales growth, profit margins, and market share. In science, percentage calculations are used to calculate the concentration of a solution, the percentage of a substance in a mixture, and the percentage of a population that has a certain characteristic.
Examples of Percentage Calculations
- If a shirt is on sale for 20% off, and the original price is $50, how much will you pay for the shirt?
- If a bank offers a 5% interest rate on a savings account, and you deposit $1000, how much interest will you earn in a year?
- If a company's sales growth rate is 10% per year, and the company's sales are $100,000 in the first year, how much will the company's sales be in the second year?
Tips for Calculating Percentages
- Always read the problem carefully and understand what is being asked.
- Use the formula: (percentage/100) × value to calculate the percentage of a value.
- Simplify the expression by dividing the percentage by 100.
- Multiply the simplified expression by the value to get the result.
Common Percentage Calculations
- Finding 10% of a value: (10/100) × value
- Finding 20% of a value: (20/100) × value
- Finding 50% of a value: (50/100) × value
- Finding 100% of a value: (100/100) × value
Conclusion
In conclusion, calculating 90% of 67 is a simple process that involves dividing 90 by 100 and multiplying the result by 67. Percentage calculations have numerous real-world applications, and it is essential to understand how to calculate percentages to solve problems in finance, business, and science. By following the tips and examples provided in this article, you will be able to calculate percentages with ease and apply them to real-world problems.
Understanding Percentage Calculations
Percentage calculations are a fundamental concept in mathematics that is used to express a value as a fraction of 100. It is denoted by the symbol '%' and is calculated by dividing the value by 100. In this article, we will answer some frequently asked questions about percentage calculations.
Q: What is the formula for calculating a percentage of a value?
A: The formula for calculating a percentage of a value is: (percentage/100) × value.
Q: How do I calculate 10% of a value?
A: To calculate 10% of a value, you can use the formula: (10/100) × value. For example, if you want to calculate 10% of 100, you would multiply 0.1 (which is 10/100) by 100, which gives you 10.
Q: How do I calculate 20% of a value?
A: To calculate 20% of a value, you can use the formula: (20/100) × value. For example, if you want to calculate 20% of 100, you would multiply 0.2 (which is 20/100) by 100, which gives you 20.
Q: How do I calculate 50% of a value?
A: To calculate 50% of a value, you can use the formula: (50/100) × value. For example, if you want to calculate 50% of 100, you would multiply 0.5 (which is 50/100) by 100, which gives you 50.
Q: How do I calculate 100% of a value?
A: To calculate 100% of a value, you can use the formula: (100/100) × value. For example, if you want to calculate 100% of 100, you would multiply 1 (which is 100/100) by 100, which gives you 100.
Q: What is the difference between a percentage and a decimal?
A: A percentage is a way to express a value as a fraction of 100, while a decimal is a way to express a value as a fraction of 10. For example, 25% is equal to 0.25.
Q: How do I convert a percentage to a decimal?
A: To convert a percentage to a decimal, you can divide the percentage by 100. For example, to convert 25% to a decimal, you would divide 25 by 100, which gives you 0.25.
Q: How do I convert a decimal to a percentage?
A: To convert a decimal to a percentage, you can multiply the decimal by 100. For example, to convert 0.25 to a percentage, you would multiply 0.25 by 100, which gives you 25%.
Q: What is the difference between a percentage increase and a percentage decrease?
A: A percentage increase is an increase in a value by a certain percentage, while a percentage decrease is a decrease in a value by a certain percentage. For example, if a value increases by 10%, it means that the value has increased by 10% of its original value. If a value decreases by 10%, it means that the value has decreased by 10% of its original value.
Q: How do I calculate a percentage increase?
A: To calculate a percentage increase, you can use the formula: (new value - original value) / original value × 100. For example, if the original value is 100 and the new value is 110, the percentage increase would be (110 - 100) / 100 × 100 = 10%.
Q: How do I calculate a percentage decrease?
A: To calculate a percentage decrease, you can use the formula: (original value - new value) / original value × 100. For example, if the original value is 100 and the new value is 90, the percentage decrease would be (100 - 90) / 100 × 100 = 10%.
Q: What are some common percentage calculations?
A: Some common percentage calculations include:
- Finding 10% of a value: (10/100) × value
- Finding 20% of a value: (20/100) × value
- Finding 50% of a value: (50/100) × value
- Finding 100% of a value: (100/100) × value
- Finding the percentage increase: (new value - original value) / original value × 100
- Finding the percentage decrease: (original value - new value) / original value × 100
Conclusion
In conclusion, percentage calculations are a fundamental concept in mathematics that is used to express a value as a fraction of 100. By understanding how to calculate percentages, you can solve problems in finance, business, and science. We hope that this article has helped you to understand percentage calculations and has provided you with the tools you need to solve problems involving percentages.