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

March 23, 2026Mathematics

ScanSolve AI Answer

March 23, 2026

Answer

15%

Step 1: Calculate the absolute decrease in the number of workers. The number of workers decreased from $500$ to $425$ . $\text{Decrease} = Original number - \text{New number}$ $\text{Decrease} = 500 - 425$ $\text{Decrease} = 75$

Step 2: Calculate the percentage decrease. The formula for percentage decrease is: $\text{Percentage Decrease} = \frac{Decrease}{Original number} \times 100\%$ Substitute the values: $\text{Percentage Decrease} = \frac{75}{500} \times 100\%$

Step 3: Simplify the fraction and calculate the percentage. $\text{Percentage Decrease} = \frac{75}{500} \times 100\%$ Divide both numerator and denominator by $25$ : $\text{Percentage Decrease} = \frac{3}{20} \times 100\%$ $\text{Percentage Decrease} = 0.15 \times 100\%$ $\text{Percentage Decrease} = 15\%$

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

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Quick Answer

Calculate the absolute decrease in the number of workers. The number of workers decreased from 500 to 425.

Asked on March 23, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on March 23, 2026

Step 1: Calculate the absolute decrease in the number of workers. The number of workers decreased from 500 to 425. Decrease = Original number - New number Decrease = 500 - 425 Decrease = 75 Step 2: Calculate the percentage decrease. The formula for percentage decrease is: Percentage Decrease = DecreaseOriginal number × 100\% Substitute the values: Percentage Decrease = (75)/(500) × 100\% Step 3: Simplify the fraction and calculate the percentage. Percentage Decrease = (75)/(500) × 100\% Divide both numerator and denominator by 25: Percentage Decrease = (3)/(20) × 100\% Percentage Decrease = 0.15 × 100\% Percentage Decrease = 15\% The percentage decrease is 15\%.