Calculate the Percentage: How Much is 222 of 75?

Question

What is the percentage of 222 over 75?

Video Solution

Solution Steps

00:00 Calculate 222 as a percentage of 75
00:05 Apply the formula to calculate percentages
00:10 Divide one number the other and multiply by 100
00:15 Break down 222 into factors of 25 and 3, and 100 into factors of 25 and 4
00:27 Reduce wherever possible
00:36 This is the solution

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.

Answer

296%