Finding a percentage of a quantity

Understanding Percentages

Calculating a Percentage of a Quantity

To calculate a percentage of a quantity, the first step is to change the percentage into a decimal or a fraction. Doing so will make the calculation easier.
For instance, 25% can be understood as 0.25 (in decimal) or 1/4 (as a fraction).

Using Decimal to Find the Percentage

After converting the percentage into a decimal, multiply the decimal by the given quantity.
For instance, if you want to find 25% of 60, you would multiply 0.25 by 60. This would result in 15.

Using Fractions to Find the Percentage

After converting the percentage into a fraction, multiply the fraction by the given quantity.
For instance, if you want to find 25% of 60, you would multiply 1/4 by 60. This process is equivalent to dividing 60 by 4, resulting in 15 as well.

Verification of the Solution

Whether you chose to use decimals or fractions, the end result should be the same.
This helps to check if the calculated percentage of a quantity is correct.

Practical Applications of Finding Percentages

Understanding how to calculate a percentage of a quantity is crucial in many areas, including personal finance, data analysis, and shopping discounts.
Applying this knowledge will enable fair distribution of resources, and accurate understanding of financial and statistical data.

Example of Calculating a Percentage

For instance, to find out what 70% of 200 is, convert 70% into a decimal (0.7) or a fraction (7/10).
When you multiply 0.7 by 200, you get 140. Similarly, when you multiply 7/10 by 200, you also get 140.
Therefore, 70% of 200 equals to 140.