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QuestionMathematics

What percent of 160 is 20?
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Answer

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Step 1:
I'll solve this step-by-step using the percentage formula:

Step 2:
: Identify the percentage formula

\frac{\text{Part}}{\text{Whole}} \times 100 = \text{Percentage}
The formula to find what percent a number is of another number is:

Step 3:
: Plug in the known values

\frac{20}{160} \times 100 = \text{Percentage}
Here, the part is 20 and the whole is 160

Step 4:
: Simplify the fraction

First, simplify $$\frac{20}{160}$$ by dividing both numerator and denominator by their greatest common factor (20):
\frac{20 \div 20}{160 \div 20} = \frac{1}{8}

Step 5:
: Calculate the percentage

\frac{1}{8} \times 100 = 12.5

Final Answer

Verification: 12.5\% \text{ of } 160 = 0.125 \times 160 = 20 \checkmark