12 is what percent of 80
The correct answer and explanation is:
Answer:
12 is 15% of 80.
Explanation:
To find what percent one number is of another, you use the formula: Percent=(PartWhole)×100\text{Percent} = \left(\frac{\text{Part}}{\text{Whole}}\right) \times 100
Here, the “part” is 12, and the “whole” is 80.
- Divide the part by the whole:
1280=0.15\frac{12}{80} = 0.15
- Convert the decimal to a percentage by multiplying by 100:
0.15×100=15%0.15 \times 100 = 15\%
So, 12 is 15% of 80.
Why This Calculation Matters:
Understanding percentages is a key math skill used in many real-life scenarios such as shopping discounts, grades, statistics, and financial calculations. The question “What percent is 12 of 80?” means you want to express 12 as a portion of 80 in terms of 100 parts.
Percentages are a way of comparing quantities relative to a whole, with the whole always being 100%. This allows for easy comparisons and understanding of proportions. For example, if you say 12 is 15% of 80, it means if you split 80 into 100 equal parts, 12 would cover 15 of those parts.
Visualizing the Concept:
Imagine a pizza divided into 80 slices. If you take 12 slices, you have taken 15% of the entire pizza. This visual helps clarify that percentages tell us the size of the portion relative to the total amount.
Other Uses:
- If you were told to increase 80 by 15%, you’d calculate 15% of 80 (which is 12) and add it to 80, getting 92.
- If you want to know what fraction 12 is of 80, it’s 1280\frac{12}{80} or 320\frac{3}{20}, but the percentage format (15%) is often more intuitive to understand and communicate.