What is 1 17/20 as a percent
The Correct Answer and Explanation is:
Answer: 185 %
Converting the mixed number 1 17⁄20 to a percentage is a tidy, three-stage routine.
1. Express everything as a decimal.
The whole-number portion, 1, is already decimal-friendly. The fractional portion, 17⁄20, must be translated. Division supplies the translation: 17 ÷ 20 = 0.85. Now meld the parts: 1 + 0.85 = 1.85. That figure represents the exact same quantity as the original mixed number, but in base-ten form.
2. Shift from “per one” to “per one hundred.”
A decimal describes parts of a single unit; a percent describes parts of one hundred equal units. The conversion therefore hinges on scaling by 100, the factor that stretches the reference frame from 1 to 100:
1.85 × 100 = 185.
3. Affix the percent symbol.
After the scaling step, the value is read “185 per 100,” and the concise notation for “per 100” is the percent sign (%). Hence the final result is:
185 %.
Why the answer exceeds 100 %
Percentages above 100 % sometimes feel counter-intuitive, yet they’re perfectly legitimate whenever the original quantity exceeds one whole. The mixed number starts with a full 1, automatically guaranteeing a percentage of at least 100 %. The extra 17⁄20 contributes another 0.85 of a whole, and 0.85 expressed on a hundred-part scale is 85 %. Add that to the baseline 100 %, and the result naturally lands at 185 %.
A reusable template
- Convert any fractional part to a decimal.
- Add it to the whole-number part.
- Multiply by 100 to switch to percent.
- Attach “%.”
Following those four moves, you can turn any mixed number—no matter how awkward—into a clear, easily compared percentage every single time. Always delay rounding until the last step so the final percentage remains as precise as the given original number.
