Solution: Step 1: Express the given problem using a mathematical formula: 60 times 20 Step 2: Transform the percentage into a decimal form for easier computation: 0.6 times 20 Step 3: Carry out the multiplication of the decimal with the number: 0.6 times 20 = 12 Knowledge Notes: To solve the problem of finding a percentage of a number, we follow a standard process that involves converting the percentage to a decimal and then multiplying it by the number in question. Here's a breakdown of the knowledge points involved in this solution: 1. Understanding Percentages: A percentage is a way of expressing a number as a fraction of 100. It is denoted using the percent sign (). For example, 60 means 60 out of every 100 or simply 60/100. 2. Converting Percentages to Decimals: To convert a percentage to a decimal, divide by 100 or simply move the decimal point two places to the left. For instance, 60 becomes 0.6. 3. Multiplication of Decimals: When multiplying a decimal by a whole number, one can proceed as with regular multiplication and then place the decimal point in the result based on the number of decimal places in the decimal number. 4. Calculating Percentage of a Number: After converting the percentage to a decimal, multiply it by the number to find the specified percentage of that number. This is a basic arithmetic operation that applies the concept of percentages to find parts of quantities. In the given problem, we applied these concepts to find 60 of 20 by first converting 60 to a decimal (0.6) and then multiplying it by 20 to get the result of 12.

Evaluate 60% of 20

This question is asking for the calculation of a percentage value. Specifically, it requires you to determine what 60% of the number 20 is. This involves a mathematical operation where you will use the percentage formula or the concept of fractions to find the part of the whole number 20 that corresponds to 60 percent. In this case, you're not asked to solve or provide the answer, just to explain the problem.

$60 \%$of$20$

Answer

Expert–verified

Solution:

Step 1:

Express the given problem using a mathematical formula: $60\% \times 20$

Step 2:

Transform the percentage into a decimal form for easier computation: $0.6 \times 20$

Step 3:

Carry out the multiplication of the decimal with the number: $0.6 \times 20 = 12$

Knowledge Notes:

To solve the problem of finding a percentage of a number, we follow a standard process that involves converting the percentage to a decimal and then multiplying it by the number in question. Here's a breakdown of the knowledge points involved in this solution:

Understanding Percentages: A percentage is a way of expressing a number as a fraction of 100. It is denoted using the percent sign (%). For example, 60% means 60 out of every 100 or simply 60/100.
Converting Percentages to Decimals: To convert a percentage to a decimal, divide by 100 or simply move the decimal point two places to the left. For instance, 60% becomes 0.6.
Multiplication of Decimals: When multiplying a decimal by a whole number, one can proceed as with regular multiplication and then place the decimal point in the result based on the number of decimal places in the decimal number.
Calculating Percentage of a Number: After converting the percentage to a decimal, multiply it by the number to find the specified percentage of that number. This is a basic arithmetic operation that applies the concept of percentages to find parts of quantities.

In the given problem, we applied these concepts to find 60% of 20 by first converting 60% to a decimal (0.6) and then multiplying it by 20 to get the result of 12.