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Step 1:I'll solve this step by step using the specified LaTeX formatting guidelines:
Step 2:: Understand the Problem
We need to find a number where 10 is 20 percent of that number. This means we'll set up an equation relating 10 to 20% of the unknown number.
Step 3:: Set Up the Equation
0.20x = 10
Let x be the unknown number. We know that 20% of x equals 10.
Step 4:: Solve for x
x = \frac{10}{0.20}
To isolate x, divide both sides by 0.20:
Step 5:: Calculate the Result
x = \frac{10}{0.20} = 50
Step 6:: Verify the Solution
Check: 20% of 50 is $$0.20 \times 50 = 10$$ ✓
Final Answer
50 is the number where 10 is 20 percent of it.
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