In the percent problem: 40% of x equals 80. Find x.

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Multiple Choice

In the percent problem: 40% of x equals 80. Find x.

Explanation:
To solve this, treat percent as a part of x. 40% means 0.40, so set up the equation 0.40 × x = 80. Solve for x by dividing both sides by 0.40: x = 80 ÷ 0.40 = 200. You can also see it as a fraction: 40% is 2/5, so (2/5) × x = 80; multiplying both sides by 5/2 gives x = 80 × 5/2 = 200. Quick check: 40% of 200 is 80, which matches. The other options give different results when multiplied by 0.40 (72, 84, 92, etc.), so only 200 works.

To solve this, treat percent as a part of x. 40% means 0.40, so set up the equation 0.40 × x = 80. Solve for x by dividing both sides by 0.40: x = 80 ÷ 0.40 = 200. You can also see it as a fraction: 40% is 2/5, so (2/5) × x = 80; multiplying both sides by 5/2 gives x = 80 × 5/2 = 200. Quick check: 40% of 200 is 80, which matches. The other options give different results when multiplied by 0.40 (72, 84, 92, etc.), so only 200 works.

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