Example

Finding the Total Recommended Daily Amount of Potassium

Apply the seven-step problem-solving strategy to a percent application in which the base (the whole) is the unknown.

Problem: One serving of breakfast cereal provides 8585 mg of potassium, which is 2%2\% of the recommended daily amount. What is the total recommended daily amount of potassium?

  1. Identify what to find: the total recommended daily amount of potassium.
  2. Name the unknown: Let aa = the total amount of potassium recommended daily.
  3. Translate into a percent sentence and equation: "8585 mg is 2%2\% of the total amount" becomes

85=0.02×a85 = 0.02 \times a

  1. Solve by dividing both sides by 0.020.02:

850.02=a\frac{85}{0.02} = a

a=4,250a = 4{,}250

  1. Check2%2\% is a small percent, and 8585 is indeed a small portion of 4,2504{,}250, so the answer is reasonable.
  2. Answer: The total recommended daily amount of potassium is 4,2504{,}250 mg.

This problem is a "find the base" percent equation. After translation the variable aa is multiplied by the decimal coefficient 0.020.02, so dividing both sides by that coefficient — using the Division Property of Equality — isolates the unknown and reveals the whole amount.

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Updated 2026-04-22

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