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QuestionMathematics

Find the percent of the number: 30% of 70 = ? If possible, please explain how you arrived at the answer.
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Step 1:
I'll solve this problem step by step following the specified LaTeX formatting guidelines:

Step 2:
: Understand the Problem

The problem asks us to find 30% of 70. This means we need to calculate the value that represents 30 hundredths of 70.

Step 3:
: Convert Percent to Decimal

30\% = \frac{30}{100} = 0.30
To calculate a percentage, we first convert the percent to a decimal by dividing by 100:

Step 4:
: Multiply the Number by the Decimal

70 \times 0.30 = 21
To find 30% of 70, we multiply 70 by 0.30:

Step 5:
: Verify the Calculation

\frac{21}{70} \times 100\% = 30\%
We can check our work by confirming that 21 is indeed 30% of 70:

Final Answer

30% of 70 = 21 Explanation: To find a percentage of a number, convert the percent to a decimal by dividing by 100, then multiply this decimal by the original number. In this case, 30% = 0.30, and 0.30 × 70 = 21.