A number x satisfies 40% of x equals 120. What is x?

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Multiple Choice

A number x satisfies 40% of x equals 120. What is x?

Explanation:
Finding a number when a percent of it equals a given value. Here, 40% of x equals 120, so 0.40 × x = 120. Solving for x by dividing both sides by 0.40 gives x = 120 ÷ 0.40 = 300. Quick check: 40% of 300 is 0.40 × 300 = 120, which matches. If you test the other possibilities, 40% of 200 is 80, 40% of 360 is 144, and 40% of 480 is 192, none of which equal 120.

Finding a number when a percent of it equals a given value. Here, 40% of x equals 120, so 0.40 × x = 120. Solving for x by dividing both sides by 0.40 gives x = 120 ÷ 0.40 = 300. Quick check: 40% of 300 is 0.40 × 300 = 120, which matches.

If you test the other possibilities, 40% of 200 is 80, 40% of 360 is 144, and 40% of 480 is 192, none of which equal 120.

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