Find the missing percent: ?% of 130 equals 10.4. What is the value of ?

Introduction / Context:This is a direct percent-back calculation: if some percentage of a quantity is known, recover the rate. Such problems are common in discounts, interest, and concentration questions.

Given Data / Assumptions:Let p be the percentage value (not decimal). Then p% of 130 equals 10.4.

Concept / Approach:Translate to equation: (p/100) * 130 = 10.4. Solve for p by isolating it: p = 10.4 * 100 / 130. Simplify the fraction carefully to avoid arithmetic errors.

Step-by-Step Solution:

Verification / Alternative check:8% of 130 = 0.08 * 130 = 10.4. This confirms correctness.

Why Other Options Are Wrong:0.8 and 0.08 confuse percent with decimal fraction; 80 is ten times larger than required; 0.8% would yield only 1.04.

Common Pitfalls:Forgetting to multiply by 100 when converting from decimal proportion to percent, or misplacing the decimal during division.

Final Answer:8