Understanding Percentages: Calculating 10 of 800 and Beyond

Introduction to Percentages: A percentage is a way of expressing a number as a fraction of 100. The symbol '%' is used to denote a percentage, and it is related to the mathematical term per cent, which means per hundred.

Calculating 10 of 800

To find 10 of 800, we can use the formula for calculating a percentage of a number. The formula is:

Step 1: Convert the percentage to a decimal: 10% can be written as 10/100, which is 0.10. Step 2: Multiply the decimal by the number: 0.10 × 800 80.

Therefore, 10 of 800 is 80.

Percentage Calculation Explained

Let's break down the calculation step-by-step:

Step 1: Convert the Percentage to a Decimal

The conversion from 10% to 0.10 as a decimal.

Step 2: Multiply the Decimal by the Number

Multiplication of 0.10 by 800 to find the result.

In mathematical terms, we can express it as:

10/100 × 800 80

Percentage Calculation: Y is 1.25 Percent of 800

In the given premise, we need to find what 10 is in terms of the percentage of 800. We start by understanding that 10 is 1/80th of 800.

To convert 1/80 to a percentage, we can use the following steps:

Step 1: Express 1/80 as a decimal: 1/80 0.0125 Step 2: Convert the decimal to a percentage: 0.0125 × 100 1.25%

Hence, 10 is 1.25% of 800. This calculation can be verified using the formula:

10/800 × 100 1.25%

Additional Calculations

We can also calculate 8% of 800 for comparison. Since 8% is 8 times 1%, and 1% of 800 is 8, 8% would be:

8 × 8 64

Conclusion

Understanding percentages and how to calculate them is essential for many practical applications in daily life and in various fields of study. By following a systematic approach, we can easily find any percentage of a given number.

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