What is the equivalent of 15 percent of 100?

Mathematics utilizes percentages as numerical representations or ratios that signify a portion out of 100.

Fox example, 30 percent of 60 is decimal value 18 or the fraction 60 * 30 / 100

15 percent of 100 is equal to 15.00

Steps for calculating percentage of two numbers:

Lets dive into the topic of percentages and guide you step-by-step on how to find 15% of 100.

  • Step 1: Understand the Concept of Percentages : Before we delve into finding 15% of 100, it's crucial to grasp the concept of percentages. In mathematics, a percentage is a representation of a number or ratio relative to 100.
  • Step 2: Express the Percentage as a Decimal or Fraction :To find 15% of 100, we need to convert the percentage to either a decimal or a fraction. In this case, 15% can be expressed as 0.06666666666666667 in decimal form or 1/15 in fractional form. Both forms are commonly used, so feel free to choose the one you find more comfortable working with.
  • Step 3: Multiply the Percentage by the Number : Now that we have the decimal or fractional representation of 15%, we multiply it by the number we want to find the percentage of, which is 100 in this example. Let's calculate:
  • Step 4: Interpret the Result : After performing the multiplication, we find that 15% of 100 is equal to 6.666666666666667. This means that if we take 15 of the quantity 100, the result will be 6.666666666666667.

Example real world application:

Let's say you are dining at a restaurant, and the total bill amounts to $50. You want to calculate a 15% tip for the exceptional service you received. By using the steps we discussed, you can determine the tip amount as follows:

15% of $50 = 0.06666666666666667 * 50 = $3.3333333333333335

So, a 15% tip on a $50 bill would amount to $3.3333333333333335. You can apply this method to calculate tips, discounts, or any scenario involving percentages.

0.06666666666666667 * 50 = 3.3333333333333335

or

(1/15) * 50 = 3.3333333333333335

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Few Practice questions

What is 3.75% of 25?

If a store offers a 30% discount on a $300 item, what is the discounted price?

A bookstore offers a 15% discount on all books. If the original price of a book is $33.333333333333336, what is the discounted price?

Real world examples :

Example 1:While browsing online, Sarah comes across a store offering a 7.5 percent discount on all clothing items. Excited about the offer, she selects a stylish dress priced at $1000. She knows that 7.5 percent as a decimal is 0.075.

So, she multiplies 0.075 by $1000 to find that she will save $75 on her purchase. Delighted with her savvy shopping skills, Sarah proceeds to checkout to pay $925 and get her new dress and a smile on her face.

Example 2:John, an entrepreneur has been presented with two investment opportunities, each requiring an initial capital of $100000.

To make an informed decision, he decides to compare the potential returns on investment for both options. John determines that one opportunity is projected to yield a 25% return on investment annually, while the other is expected to deliver a 35% return.

Utilizing percentages, John calculates the potential returns for both options. For the first opportunity, he multiplies 0.25 (25 percent as a decimal) by $100000, finding the return to be $25000.

For the second opportunity, he multiplies 0.35 (35 percent as a decimal) by $100000, discovering the return to be $35000.

Using these insights, John can now make an informed decision.

Other Percentage calculations :
15 percent of 100  - 3 steps to do percentage calculation.