What is 6.667 Percent of 200?

What is 6.667 percent of 200?

Answer: 6.667 percent of 200 is 13.334. Alternatively, we can say that 13.334 is equivalent to 6.667% of 200.

Solution for What is 6.667 percent of 200:

n = 6.667 percent of 200

n = 6.667 % * 200

n = \frac{6.667}{100} * 200

n = \frac{6.667 * 200}{100}

n = \frac{1333.4}{100}

n = 13.334

Now we have 6.667% of 200 = 13.334. Alternatively, we can express it as 6.667 percent of 200 equals 13.334.

The step-by-step process for finding what is 6.667 percent of 200:

The mathematical calculation of 6.667% of 200 can be broken down as follows:

6.667 percent * 200
Convert this into an equation: (6.667 / 100) * 200
Simplify the equation further: (6.667 * 200) / 100
Carry out the calculation: 1333.4 / 100
The final answer is: 13.334

Thus, we conclude that 6.667% of 200 is 13.334.

Explanation for What is 6.667% of 200:

Step 1: **6.667 percent * 200**

Think of percent as parts out of 100. So, when we say 6.667 percent, it's like having 6.667 parts out of a total of 100. What we want to do now is find out what those 6.667 parts would be if our total was 200 instead of 100.

Step 2: **(6.667 / 100) * 200**

This is like dividing our 6.667 parts into 100. It's as if we have 100 pieces of candy and we only want 6.667 of those pieces. That gives us 0.6.667 or 6.667 hundredths. Now we multiply those 6.667 parts (or 0.6.667) by 200 to find out what 6.667% of 200 would be.

Step 3: **(6.667 * 200) / 100**

This is an alternative calculation. Instead of doing it in two steps like we did before, we can also do it in one step. First, we multiply 6.667 (our 6.667 parts) by 200 (our total amount), and then we divide that by 100.

Step 4: 1333.4 / 100

The previous step gave us 1333.4. But remember we were pretending our total was 100? Now we have to divide by 100 to get back to the number for our real total, which is 200. That's why we divide 1333.4 by 100.

Step 5: 13.334

Finally, after dividing 1333.4 by 100, we arrive at the answer: 13.334. Hence, we can definitively say that 6.667% of 200 equals 13.334.

This guide aims to simplify the understanding of percentage calculations, focusing on the question "What is 6.667% of 200?" Keep practicing with different numbers to hone your skills in percentage calculations. We hope this helps you in your quest for better mathematical understanding.