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If 45% of a number is 90, what is the number?

Practice Questions

Q1
If 45% of a number is 90, what is the number?
  1. 150
  2. 200
  3. 250
  4. 300

Questions & Step-by-Step Solutions

If 45% of a number is 90, what is the number?
Correct Answer: 200
  • Step 1: Understand that 45% means 45 out of 100, or 0.45 in decimal form.
  • Step 2: Let the unknown number be represented by 'x'.
  • Step 3: Write the equation that represents the problem: 0.45 times x equals 90. This can be written as 0.45x = 90.
  • Step 4: To find x, you need to isolate it. Divide both sides of the equation by 0.45: x = 90 / 0.45.
  • Step 5: Calculate 90 divided by 0.45 to find the value of x.
  • Step 6: The result of the calculation is x = 200.
  • Percentage Calculation – Understanding how to calculate a percentage of a number and how to set up an equation to find the original number.
  • Algebraic Manipulation – Using algebra to isolate the variable and solve for the unknown number.
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