175% of a number is 49. The number will be:

The correct answer is 28. To find the unknown number, we translate the percentage statement into an algebraic equation and solve for the variable.

Step-by-Step Solution

• Step 1 – Understand the meaning of 175%:
  
  Percent means "per hundred", so 175% = 175/100 = 1.75 in decimal form.
• Step 2 – Set up the equation:
  
  Let the required number be x.
  
  "175% of x is 49" translates to:
  
  1.75 × x = 49
• Step 3 – Isolate x:
  
  Divide both sides of the equation by 1.75:
  
  x = 49 ÷ 1.75
• Step 4 – Simplify the division:
  
  To avoid decimals, multiply the numerator and denominator by 100:
  
  x = (49 × 100) ÷ (1.75 × 100) = 4900 ÷ 175
  
  Now divide: 4900 ÷ 175 = 28.
• Step 5 – Verification:
  
  Find 175% of 28:
  
  (175/100) × 28 = 1.75 × 28 = 49.
  
  The result matches the given value, confirming the solution.

Hence, the number is 28.