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A company reduced its workers from 500 to 425. Find the percentage decrease.

Mathematics

ScanSolve AI Answer

Answer

15%15\%

Step-by-step solution

3 steps
  1. Calculate the absolute decrease in the number of workers.

    The number of workers decreased from 500 to 425.

    Decrease=Original number−New number\text{Decrease} = \text{Original number} - \text{New number} Decrease=500−425\text{Decrease} = 500 - 425 Decrease=75\text{Decrease} = 75
  2. Calculate the percentage decrease.

    The formula for percentage decrease is:

    Percentage Decrease=DecreaseOriginal number×100%\text{Percentage Decrease} = \frac{\text{Decrease}}{\text{Original number}} \times 100\%

    Substitute the values:

    Percentage Decrease=75500×100%\text{Percentage Decrease} = \frac{75}{500} \times 100\%
  3. Simplify the fraction and calculate the percentage.

    Percentage Decrease=75500×100%\text{Percentage Decrease} = \frac{75}{500} \times 100\%

    Divide both numerator and denominator by 25:

    Percentage Decrease=320×100%\text{Percentage Decrease} = \frac{3}{20} \times 100\% Percentage Decrease=0.15×100%\text{Percentage Decrease} = 0.15 \times 100\% Percentage Decrease=15%\text{Percentage Decrease} = 15\%

    The percentage decrease is 15%\boxed{15\%}.

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