13 is 21 percent of what number
The correct answer and explanation is:
Answer:
13 is 21% of approximately 61.90.
Explanation:
To find out what number 13 is 21% of, we can set up the equation using the concept of percentages.
Step 1: Understand the problem
We know:
- 13 is 21% of some unknown number, call it xx.
Mathematically: 13=21%×x13 = 21\% \times x
Step 2: Convert percentage to decimal
Percent means “per hundred,” so: 21%=21100=0.2121\% = \frac{21}{100} = 0.21
So the equation becomes: 13=0.21×x13 = 0.21 \times x
Step 3: Solve for xx
To isolate xx, divide both sides by 0.21: x=130.21x = \frac{13}{0.21}
Calculate: x≈61.90476x \approx 61.90476
Rounded to two decimal places: x≈61.90x \approx 61.90
Step 4: Interpretation
This means that 13 represents 21% of approximately 61.90.
Why this matters:
Understanding how to find the whole from a part and a percentage is a fundamental skill in math, finance, science, and everyday problem-solving.
For example:
- If 13 students make up 21% of a class, then the total number of students is about 62.
- If 13 dollars is 21% of your weekly budget, your total budget is about 62 dollars.
Summary
To find the total number when given a part and the percentage it represents:
- Convert the percentage to decimal form.
- Divide the part by the decimal.
- The result is the total number.