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If 15% of a number is 45, what is the number?

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Question: If 15% of a number is 45, what is the number?

Options:

  1. 250
  2. 300
  3. 350
  4. 400

Correct Answer: 300

Solution: 

Let the number be x. Then, 0.15x = 45. Therefore, x = 45/0.15 = 300.

If 15% of a number is 45, what is the number?

Practice Questions

Q1
If 15% of a number is 45, what is the number?
  1. 250
  2. 300
  3. 350
  4. 400

Questions & Step-by-Step Solutions

If 15% of a number is 45, what is the number?
Correct Answer: 300
  • Step 1: Understand that 15% means 15 out of 100, or 0.15 in decimal form.
  • Step 2: Let the unknown number be represented by 'x'.
  • Step 3: Write the equation for 15% of 'x': 0.15 * x = 45.
  • Step 4: To find 'x', we need to isolate it. We can do this by dividing both sides of the equation by 0.15.
  • Step 5: Perform the division: x = 45 / 0.15.
  • Step 6: Calculate the result: 45 divided by 0.15 equals 300.
  • Step 7: Therefore, the number is 300.
  • Percentage Calculation – Understanding how to calculate a percentage of a number and how to set up an equation based on that percentage.
  • Algebraic Manipulation – Solving for a variable in an equation, specifically isolating x in the equation 0.15x = 45.
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