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QuestionMathematics

20% of what number is 7?
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Answer

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Step 1:
I'll solve this step-by-step using the specified LaTeX formatting guidelines:

Step 2:
: Translate the problem into an algebraic equation

Let the unknown number be $$x$$.
The problem states that 20% of this number is 7.

Step 3:
: Convert the percentage to a decimal

20\% = \frac{20}{100} = 0.20

Step 4:
: Set up the algebraic equation

0.20x = 7

Step 5:
: Solve for x by dividing both sides by 0.20

x = \frac{7}{0.20}

Step 6:
: Calculate the value of x

x = \frac{7}{0.20} = 7 \div 0.20 = 35

Step 7:
: Verify the solution

20\% \text{ of } 35 = 0.20 \times 35 = 7 \checkmark

Final Answer

The number is 35.