Julia estimated her cat weight to be 14 pounds. The actual weight of the cat is 11.75 pounds. What is the percent error of Julia's estimate relative to the actual weight? Round your answer to the nearest tenth of a percent.

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To find the percent error of Julia's estimate relative to the actual weight of the cat, we can use the formula:

$$ \text{Percent Error} = \left( \frac{\text{Estimated Value} - \text{Actual Value}}{\text{Actual Value}} \right) \times 100\% $$

Given:
- Estimated weight of the cat by Julia = 14 pounds
- Actual weight of the cat = 11.75 pounds

Substitute the values into the formula:

$$ \text{Percent Error} = \left( \frac{14 - 11.75}{11.75} \right) \times 100\% $$

Now, we can calculate the percent error.
Calculate the value by following steps:
- step0: Calculate:
  $$\frac{\left(14-11.75\right)}{11.75}\times 100$$
- step1: Remove the parentheses:
  $$\frac{14-11.75}{11.75}\times 100$$
- step2: Subtract the numbers:
  $$\frac{2.25}{11.75}\times 100$$
- step3: Divide the terms:
  $$\frac{9}{47}\times 100$$
- step4: Multiply:
  $$\frac{9\times 100}{47}$$
- step5: Multiply:
  $$\frac{900}{47}$$
The percent error of Julia's estimate relative to the actual weight of the cat is approximately 19.15%.
The percent error of Julia's estimate is approximately 19.2%.

Julia estimated her cat weight to be 14 pounds. The actual weight of the cat is 11.75 pounds. What is the percent error of Julia's estimate relative to the actual weight? Round your answer to the nearest tenth of a percent.

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