Convert a ratio to percentage What is the ratio 13:47 expressed as a percentage (rounded to one decimal place as in typical engineering practice)?

Introduction / Context:
Converting ratios to percentages is a frequent task in test data analysis, yield reporting, and specification compliance. A clear method avoids calculator mistakes and ensures consistent rounding.

Given Data / Assumptions:

• Given ratio: 13 to 47.
• Percentage form required.
• Round to about one decimal place as commonly presented.

Concept / Approach:
A percentage is simply a fraction times 100. For a ratio a:b, compute a/b to get the fraction of the whole represented by a, then multiply by 100 to express it as a percent.

Step-by-Step Solution:
Compute fraction: 13 / 47 ≈ 0.276595744.Convert to percent: 0.276595744 * 100 ≈ 27.6595744%.Round to one decimal place: ≈ 27.7%.Thus, 13:47 expressed as a percentage is 27.7%.

Verification / Alternative check:
Back-check: 47 * 0.277 ≈ 13.019, close to 13, consistent with rounding.

Why Other Options Are Wrong:
2.76% and 3.60%: order of magnitude too small.36.1%: too large; would correspond to about 17/47.

Common Pitfalls:
Forgetting to multiply by 100 or misplacing the decimal; not rounding consistently across datasets.

Final Answer:
27.7%