Calculate the Percentage: How Much is 222 of 75?

What is the percentage of 222 over 75?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's calculate 222 as a percentage of 75.
00:09 First, we'll use the percentage formula.
00:14 You need to divide 222 by 75, then multiply by 100.
00:20 Now, let's break down 222 into factors: 25 times 3. And 100 is 25 times 4.
00:31 Simplify by reducing wherever possible.
00:40 Great job! That's the solution!

Step-by-step written solution

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1

Understand the problem

What is the percentage of 222 over 75?

2

Step-by-step solution

To solve this problem, we need to express the number 222 as a percentage of 75. To do this, we employ the following method:

  • Step 1: Write the fraction for which we are determining the percentage, which is 22275\frac{222}{75}.
  • Step 2: Convert this fraction to a percentage by multiplying it by 100:

22275×100% \frac{222}{75} \times 100\%

Step-by-step breakdown of the calculation:

222×10075=2220075 \frac{222 \times 100}{75} = \frac{22200}{75}

Now, let's simplify 2220075 \frac{22200}{75} :

Compute: 2220075=296 \frac{22200}{75} = 296

This gives us 296.

Therefore, 222 222 is 296% of 75 75 .

The correct choice from the given options is 296%, which corresponds to choice 3.

3

Final Answer

296%

Practice Quiz

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Convert the fraction into a percentage:

\( \frac{2}{100}=\text{?} \)

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