Answer
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Step 1:I'll solve this step by step using the specified LaTeX formatting guidelines:
Step 2:: Understand the Problem
The problem asks us to find the total number when 160 represents 20% of that number.
Step 3:: Set Up the Equation
Let $$x$$ be the total number.
We know that 160 is 20% of x.
Step 4:: Convert Percentage to Decimal
20% can be written as $$\frac{20}{100}$$ or $$0.20
Step 5:: Create the Equation
160 = 0.20x
Step 6:: Solve for x
x = \frac{160}{0.20}
Step 7:: Calculate the Result
x = 160 \div 0.20 = 800
Final Answer
Verification: \frac{160}{800} = 0.20 = 20\% ✓
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