399 is What Percent of 420? = 95% [With 2 Solutions]

Determining percentages is an important mathematical skill used in many real-world situations.

In this article, we will explore the question “399 is what percent of 420?” step-by-step and discuss various methods to find the percentage.

Utilizing the “X is What Percent of Y Calculator”,we can compute that 399 is 95% of 420.

Step-by-Step Solution: 399 is What Percent of 420?

Now that we know we want to find 399 is what percent of 420? , let’s look at two different step-by-step methods we can use to solve this percentage problem. Each approach arrives at the same solution, but understanding different ways to think through the math builds flexibility and deeper learning.

Method 1: Convert Ratio to Percentage

Fractions consist of a numerator and denominator. Fractions consist of a numerator and denominator. The numerator represents the number of pieces being considered, while the denominator is the total number of pieces that make up the whole.

“Percent” means “per hundred”. So percent is another way to express a fraction where the denominator is always 100.

For example, the percentage 50% indicates we have 50 out of a total of 100 pieces. 50% can be rewritten as the fraction 50/100, since we have 50 parts out of 100 total parts.

In summary, to convert a fraction to a percentage, we multiply the numerator and denominator by the same value so that the denominator becomes 100. Once we have a fraction with a denominator of 100, the numerator gives us the percentage amount. This allows any fraction to be converted to an equivalent percentage based on the concept of “out of 100”.

Let’s apply this understanding to calculate “399 is what percent of 420?”.

Step1: Write the Ratio as a Fraction

First, we can express “399 is what percent of 420?” as the fraction 399/420.

399 of 420 can be written as: 399 / 420

Step 2: Find the Number to Multiply to Get a Denominator of 100

We want the denominator to be 100, so need to multiply by a number that makes 420 into 100

To find this number, divide 100 by 420:

100 /420 = 0.2381

Step 3: Multiply the Fraction by the Number from Step 2

Multiply both the numerator and denominator by 0.2381:

399/420 x 0.2381/0.2381
= 399 x 0.2381/420 x 0.2381
= 95/100

Step 4: The Numerator is Now the Percentage

Since our new denominator is 100, the numerator 95 represents the percentage

This step-by-step method of converting the ratio 399 : 420 to a fraction and then a percentage with a denominator of 100 allows us to calculate that 399 is 95% of 420.

Method 2: Converting Fractions to Decimals and Percents

You can also use division to convert a fraction to a decimal and then to a percentage.

Step 1: Write the Fraction

Start with the original fraction:

399 of 420 can be written as: 399 / 420

Step 2: Divide the Numerator by the Denominator

Use long division to divide the numerator by the denominator:

399 / 420 = 0.95

Step 3: Multiply the Decimal by 100

To convert the decimal to a percentage, multiply it by 100:

0.95 x 100 = 95%

Therefore, by dividing 399/420 to 0.95 and then multiplying by 100, the result is 95%

Following this process carefully of dividing the fraction, multiplying the decimal by 100, and interpreting the result as a percentage provides us another method to find that 399 is 95% of 420.

Comparing the Two Methods

Let’s summarize the two methods we used to find the percentage “399 is what percent of 420?”:

Method	Description	Steps
Convert Ratio to Percentage	Converts the ratio to a fraction, then multiplies to make the denominator 100	1. Write ratio as fraction 2. Multiply to make denominator 100 3. Numerator is the percentage
Convert Fraction to Decimal and Percentage	Divides the fraction to a decimal, then multiplies the decimal by 100	1. Write the fraction 2. Divide numerator by denominator 3. Multiply decimal by 100 4. Result is the percentage

The ratio to percentage method directly converts the ratio 399 : 420 to an equivalent percentage fraction. The fraction to decimal method indirectly converts the fraction 399/420 to a decimal and then a percentage.

p>Both methods follow a clear step-by-step procedure to arrive at the same result that 399 is 95% of 420. Understanding multiple approaches builds flexibility in thinking through percentage problems.

Standard Percentage of 420 Calculation Examples

Now that we have calculated that 399 is 95% of 420, let’s explore what 5%, 10%, up to 95% of 420 would be.

21 is 5% of 420

42 is 10% of 420

63 is 15% of 420

84 is 20% of 420

105 is 25% of 420

126 is 30% of 420

147 is 35% of 420

168 is 40% of 420

189 is 45% of 420

210 is 50% of 420

231 is 55% of 420

252 is 60% of 420

273 is 65% of 420

294 is 70% of 420

315 is 75% of 420

336 is 80% of 420

357 is 85% of 420

378 is 90% of 420

399 is 95% of 420

420 is 100% of 420

Conclusion

Finding percentages is an essential mathematical skill used in daily life for calculations of discounts, taxes, tips, interest rates, test scores, and more. In this article, we explored the specific question “399 is what percent of 420?” and discussed two methods to solve it – converting a ratio to a percentage and converting a fraction to a decimal and percentage. Both methods carefully followed arrive at the solution that 399 is 95% of 420.

We also looked at calculating a range of standard percentages from 5% to 95% of the total number 420. Practicing these types of percentage calculations helps improve mathematical proficiency and comfort applying different techniques.