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Example: Finding the Percent Increase in Deductible Mileage

Apply the process for finding percent change to a real-world scenario. Problem: In 2011, the IRS increased the deductible mileage cost to 55.555.5 cents from 5151 cents. Find the percent change, rounded to the nearest tenth of a percent. 1. Find the amount of change: Subtract the original amount from the new amount: 55.551=4.555.5 - 51 = 4.5. 2. Find the percent: The amount of change is what percent of the original amount? Let pp = the percent. Translate "4.54.5 is what percent of 5151?" into the equation: 4.5=p×514.5 = p \times 51. 3. Solve: Divide both sides by 5151 to get p0.0882p \approx 0.0882. 4. Convert to percent form and round to the nearest tenth: p8.8%p \approx 8.8\%. The percent change is an 8.8%8.8\% increase.

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Updated 2026-05-02

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